48236692029696 has 729 divisors, whose sum is σ = 151622972697469. Its totient is φ = 15313807060992.

The previous prime is 48236692029653. The next prime is 48236692029733. The reversal of 48236692029696 is 69692029663284.

The square root of 48236692029696 is 6945264.

It is a perfect power (a square), and thus also a powerful number.

48236692029696 is a `hidden beast` number, since 4 + 8 + 2 + 366 + 92 + 0 + 2 + 96 + 96 = 666.

48236692029696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9795898425600 + 38440793604096 = 3129840^2 + 6200064^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a super-2 number, since 2×48236692029696² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 207024429196 + ... + 207024429428.

Almost surely, 2^{48236692029696} is an apocalyptic number.

48236692029696 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

48236692029696 is the 6945264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48236692029696

48236692029696 is an abundant number, since it is smaller than the sum of its proper divisors (103386280667773).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48236692029696 is an frugal number, since it uses more digits than its factorization.

48236692029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 48236692029696 in words is "forty-eight trillion, two hundred thirty-six billion, six hundred ninety-two million, twenty-nine thousand, six hundred ninety-six".