114657884640 has 960 divisors, whose sum is σ = 465956789760. Its totient is φ = 26336378880.

The previous prime is 114657884629. The next prime is 114657884659. The reversal of 114657884640 is 46488756411.

114657884640 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 578 + 8 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151463142 + ... + 151463898.

It is an arithmetic number, because the mean of its divisors is an integer number (485371656).

Almost surely, 2^114657884640 is an apocalyptic number.

114657884640 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 114657884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232978394880).

114657884640 is an abundant number, since it is smaller than the sum of its proper divisors (351298905120).

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

114657884640 is a wasteful number, since it uses less digits than its factorization.

114657884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 114657884640 in words is "one hundred fourteen billion, six hundred fifty-seven million, eight hundred eighty-four thousand, six hundred forty".