48651377609952 has 288 divisors, whose sum is σ = 154150412925600. Its totient is φ = 14451789090816.

The previous prime is 48651377609951. The next prime is 48651377610049. The reversal of 48651377609952 is 25990677315684.

48651377609952 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 1 + 3 + 7 + 7 + 609 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×48651377609952² (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 (48651377609951) 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 47 ways as a sum of consecutive naturals, for example, 1192035498 + ... + 1192076310.

It is an arithmetic number, because the mean of its divisors is an integer number (535244489325).

It is a 1-persistent number, because it is pandigital, but 2⋅48651377609952 = 97302755219904 is not.

Almost surely, 2^{48651377609952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48651377609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77075206462800).

48651377609952 is an abundant number, since it is smaller than the sum of its proper divisors (105499035315648).

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

48651377609952 is a wasteful number, since it uses less digits than its factorization.

48651377609952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51850 (or 51839 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 48651377609952 in words is "forty-eight trillion, six hundred fifty-one billion, three hundred seventy-seven million, six hundred nine thousand, nine hundred fifty-two".