114312564989640 has 640 divisors, whose sum is σ = 403465789393920. Its totient is φ = 28991030630400.

The previous prime is 114312564989629. The next prime is 114312564989659. The reversal of 114312564989640 is 46989465213411.

114312564989640 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 2 + 56 + 498 + 96 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7578893539 + ... + 7578908621.

It is an arithmetic number, because the mean of its divisors is an integer number (630415295928).

Almost surely, 2^{114312564989640} is an apocalyptic number.

114312564989640 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 114312564989640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201732894696960).

114312564989640 is an abundant number, since it is smaller than the sum of its proper divisors (289153224404280).

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

114312564989640 is a wasteful number, since it uses less digits than its factorization.

114312564989640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16435 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 114312564989640 in words is "one hundred fourteen trillion, three hundred twelve billion, five hundred sixty-four million, nine hundred eighty-nine thousand, six hundred forty".