115146339264 has 336 divisors, whose sum is σ = 381356591616. Its totient is φ = 34148044800.

The previous prime is 115146339239. The next prime is 115146339283. The reversal of 115146339264 is 462933641511.

115146339264 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 633 + 9 + 2 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8033224 + ... + 8047544.

It is an arithmetic number, because the mean of its divisors is an integer number (1134989856).

Almost surely, 2^115146339264 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 115146339264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190678295808).

115146339264 is an abundant number, since it is smaller than the sum of its proper divisors (266210252352).

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

115146339264 is a wasteful number, since it uses less digits than its factorization.

115146339264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14406 (or 14384 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 115146339264 in words is "one hundred fifteen billion, one hundred forty-six million, three hundred thirty-nine thousand, two hundred sixty-four".