114010602656 has 96 divisors (see below), whose sum is σ = 235336098816. Its totient is φ = 54302976000.

The previous prime is 114010602647. The next prime is 114010602707. The reversal of 114010602656 is 656206010411.

114010602656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 76981436 + ... + 76982916.

It is an arithmetic number, because the mean of its divisors is an integer number (2451417696).

Almost surely, 2^114010602656 is an apocalyptic number.

114010602656 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 114010602656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117668049408).

114010602656 is an abundant number, since it is smaller than the sum of its proper divisors (121325496160).

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

114010602656 is a wasteful number, since it uses less digits than its factorization.

114010602656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 114010602656 in words is "one hundred fourteen billion, ten million, six hundred two thousand, six hundred fifty-six".