115402935377664 has 648 divisors, whose sum is σ = 388956941165520. Its totient is φ = 32768194314240.

The previous prime is 115402935377659. The next prime is 115402935377683. The reversal of 115402935377664 is 466773539204511.

115402935377664 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 0 + 2 + 93 + 537 + 7 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1075773822 + ... + 1075881090.

Almost surely, 2^{115402935377664} 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 115402935377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194478470582760).

115402935377664 is an abundant number, since it is smaller than the sum of its proper divisors (273554005787856).

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

115402935377664 is a wasteful number, since it uses less digits than its factorization.

115402935377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107557 (or 107529 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 115402935377664 in words is "one hundred fifteen trillion, four hundred two billion, nine hundred thirty-five million, three hundred seventy-seven thousand, six hundred sixty-four".