48694009354848 has 144 divisors (see below), whose sum is σ = 162682258664016. Its totient is φ = 13620701905920.

The previous prime is 48694009354843. The next prime is 48694009354849. The reversal of 48694009354848 is 84845390049684.

48694009354848 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 400 + 93 + 54 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×48694009354848² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (48694009354843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591135115 + ... + 591217482.

It is an arithmetic number, because the mean of its divisors is an integer number (1129737907389).

Almost surely, 2^{48694009354848} is an apocalyptic number.

48694009354848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48694009354848 is an abundant number, since it is smaller than the sum of its proper divisors (113988249309168).

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

48694009354848 is a wasteful number, since it uses less digits than its factorization.

48694009354848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182352637 (or 1182352626 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 48694009354848 in words is "forty-eight trillion, six hundred ninety-four billion, nine million, three hundred fifty-four thousand, eight hundred forty-eight".