114879430656 has 680 divisors, whose sum is σ = 388242787680. Its totient is φ = 33634123776.

The previous prime is 114879430651. The next prime is 114879430661. The reversal of 114879430656 is 656034978411.

114879430656 is a `hidden beast` number, since 1 + 148 + 7 + 9 + 430 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (114879430651) and next prime (114879430661).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114879430651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1714618335 + ... + 1714618401.

It is an arithmetic number, because the mean of its divisors is an integer number (570945276).

Almost surely, 2^114879430656 is an apocalyptic number.

114879430656 is a gapful number since it is divisible by the number (16) 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 114879430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194121393840).

114879430656 is an abundant number, since it is smaller than the sum of its proper divisors (273363357024).

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

114879430656 is an frugal number, since it uses more digits than its factorization.

114879430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 114879430656 in words is "one hundred fourteen billion, eight hundred seventy-nine million, four hundred thirty thousand, six hundred fifty-six".