115087467456 has 252 divisors, whose sum is σ = 359521350552. Its totient is φ = 34988018688.

The previous prime is 115087467427. The next prime is 115087467457. The reversal of 115087467456 is 654764780511.

115087467456 is a `hidden beast` number, since 1 + 1 + 50 + 87 + 4 + 67 + 456 = 666.

It is a super-2 number, since 2×115087467456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115087467457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303660675 + ... + 303661053.

It is an arithmetic number, because the mean of its divisors is an integer number (1426672026).

Almost surely, 2^115087467456 is an apocalyptic number.

115087467456 is a gapful number since it is divisible by the number (16) 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 115087467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179760675276).

115087467456 is an abundant number, since it is smaller than the sum of its proper divisors (244433883096).

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

115087467456 is a wasteful number, since it uses less digits than its factorization.

115087467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 115087467456 in words is "one hundred fifteen billion, eighty-seven million, four hundred sixty-seven thousand, four hundred fifty-six".