115028264736 has 864 divisors, whose sum is σ = 428318392320. Its totient is φ = 28644295680.

The previous prime is 115028264731. The next prime is 115028264761. The reversal of 115028264736 is 637462820511.

115028264736 is a `hidden beast` number, since 1 + 1 + 502 + 82 + 64 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×115028264736² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115028264691 and 115028264700.

It is not an unprimeable number, because it can be changed into a prime (115028264731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 905734305 + ... + 905734431.

It is an arithmetic number, because the mean of its divisors is an integer number (495738880).

Almost surely, 2^115028264736 is an apocalyptic number.

115028264736 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 115028264736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214159196160).

115028264736 is an abundant number, since it is smaller than the sum of its proper divisors (313290127584).

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

115028264736 is a wasteful number, since it uses less digits than its factorization.

115028264736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 115028264736 in words is "one hundred fifteen billion, twenty-eight million, two hundred sixty-four thousand, seven hundred thirty-six".