114351005088 has 72 divisors (see below), whose sum is σ = 342300722400. Its totient is φ = 36110841984.

The previous prime is 114351005051. The next prime is 114351005117. The reversal of 114351005088 is 880500153411.

114351005088 is a `hidden beast` number, since 1 + 1 + 43 + 5 + 100 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10443268 + ... + 10454211.

It is an arithmetic number, because the mean of its divisors is an integer number (4754176700).

Almost surely, 2^114351005088 is an apocalyptic number.

114351005088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114351005088 is an abundant number, since it is smaller than the sum of its proper divisors (227949717312).

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

114351005088 is a wasteful number, since it uses less digits than its factorization.

114351005088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20897514 (or 20897503 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 114351005088 its reverse (880500153411), we get a palindrome (994851158499).

The spelling of 114351005088 in words is "one hundred fourteen billion, three hundred fifty-one million, five thousand, eighty-eight".