113346645615264 has 384 divisors, whose sum is σ = 326278471680000. Its totient is φ = 34364684390400.

The previous prime is 113346645615257. The next prime is 113346645615271. The reversal of 113346645615264 is 462516546643311.

It is an interprime number because it is at equal distance from previous prime (113346645615257) and next prime (113346645615271).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 483962062 + ... + 484196210.

It is an arithmetic number, because the mean of its divisors is an integer number (849683520000).

Almost surely, 2^{113346645615264} 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 113346645615264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163139235840000).

113346645615264 is an abundant number, since it is smaller than the sum of its proper divisors (212931826064736).

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

113346645615264 is a wasteful number, since it uses less digits than its factorization.

113346645615264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234372 (or 234364 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 57.

The spelling of 113346645615264 in words is "one hundred thirteen trillion, three hundred forty-six billion, six hundred forty-five million, six hundred fifteen thousand, two hundred sixty-four".