115016379056460 has 384 divisors, whose sum is σ = 413464891392000. Its totient is φ = 26000622120960.

The previous prime is 115016379056419. The next prime is 115016379056461. The reversal of 115016379056460 is 64650973610511.

115016379056460 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 1 + 6 + 3 + 79 + 0 + 564 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115016379056397 and 115016379056406.

It is not an unprimeable number, because it can be changed into a prime (115016379056461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124442116 + ... + 125362964.

It is an arithmetic number, because the mean of its divisors is an integer number (1076731488000).

Almost surely, 2^{115016379056460} is an apocalyptic number.

115016379056460 is a gapful number since it is divisible by the number (10) 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 115016379056460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206732445696000).

115016379056460 is an abundant number, since it is smaller than the sum of its proper divisors (298448512335540).

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

115016379056460 is a wasteful number, since it uses less digits than its factorization.

115016379056460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921238 (or 921230 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 115016379056460 in words is "one hundred fifteen trillion, sixteen billion, three hundred seventy-nine million, fifty-six thousand, four hundred sixty".