114135764160 has 672 divisors, whose sum is σ = 424449849600. Its totient is φ = 25763840000.

The previous prime is 114135764159. The next prime is 114135764179. The reversal of 114135764160 is 61467531411.

114135764160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454724035 + ... + 454724285.

It is an arithmetic number, because the mean of its divisors is an integer number (631621800).

Almost surely, 2^114135764160 is an apocalyptic number.

114135764160 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 114135764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212224924800).

114135764160 is an abundant number, since it is smaller than the sum of its proper divisors (310314085440).

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

114135764160 is a wasteful number, since it uses less digits than its factorization.

114135764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 114135764160 in words is "one hundred fourteen billion, one hundred thirty-five million, seven hundred sixty-four thousand, one hundred sixty".