115172660477952 has 2432 divisors, whose sum is σ = 466174861148160. Its totient is φ = 27179089920000.

The previous prime is 115172660477863. The next prime is 115172660477957. The reversal of 115172660477952 is 259774066271511.

115172660477952 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 72 + 6 + 6 + 0 + 477 + 95 + 2 = 666.

It is a super-2 number, since 2×115172660477952² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 115172660477952.

It is not an unprimeable number, because it can be changed into a prime (115172660477957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287213616952 + ... + 287213617352.

Almost surely, 2^{115172660477952} is an apocalyptic number.

115172660477952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115172660477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233087430574080).

115172660477952 is an abundant number, since it is smaller than the sum of its proper divisors (351002200670208).

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

115172660477952 is an equidigital number, since it uses as much as digits as its factorization.

115172660477952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 115172660477952 in words is "one hundred fifteen trillion, one hundred seventy-two billion, six hundred sixty million, four hundred seventy-seven thousand, nine hundred fifty-two".