114913438248960 has 832 divisors, whose sum is σ = 450688525580160. Its totient is φ = 27596402196480.

The previous prime is 114913438248953. The next prime is 114913438248989. The reversal of 114913438248960 is 69842834319411.

114913438248960 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 13 + 4 + 3 + 82 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×114913438248960² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294532732 + ... + 294922628.

Almost surely, 2^{114913438248960} is an apocalyptic number.

114913438248960 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 114913438248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225344262790080).

114913438248960 is an abundant number, since it is smaller than the sum of its proper divisors (335775087331200).

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

114913438248960 is a wasteful number, since it uses less digits than its factorization.

114913438248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389989 (or 389961 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 114913438248960 in words is "one hundred fourteen trillion, nine hundred thirteen billion, four hundred thirty-eight million, two hundred forty-eight thousand, nine hundred sixty".