114365014656 has 64 divisors (see below), whose sum is σ = 304105860000. Its totient is φ = 38081039360.

The previous prime is 114365014637. The next prime is 114365014657. The reversal of 114365014656 is 656410563411.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (114365014657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203095 + ... + 519593.

Almost surely, 2^114365014656 is an apocalyptic number.

114365014656 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 114365014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152052930000).

114365014656 is an abundant number, since it is smaller than the sum of its proper divisors (189740845344).

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

114365014656 is an equidigital number, since it uses as much as digits as its factorization.

114365014656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317457 (or 317445 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 114365014656 in words is "one hundred fourteen billion, three hundred sixty-five million, fourteen thousand, six hundred fifty-six".