114451565760 has 672 divisors, whose sum is σ = 480678865920. Its totient is φ = 25547913216.

The previous prime is 114451565749. The next prime is 114451565777. The reversal of 114451565760 is 67565154411.

114451565760 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 515 + 65 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18201337 + ... + 18207623.

Almost surely, 2^114451565760 is an apocalyptic number.

114451565760 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 114451565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240339432960).

114451565760 is an abundant number, since it is smaller than the sum of its proper divisors (366227300160).

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

114451565760 is a wasteful number, since it uses less digits than its factorization.

114451565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 114451565760 in words is "one hundred fourteen billion, four hundred fifty-one million, five hundred sixty-five thousand, seven hundred sixty".