114921192960 has 1120 divisors, whose sum is σ = 498063836160. Its totient is φ = 24831442944.

The previous prime is 114921192937. The next prime is 114921193001. The reversal of 114921192960 is 69291129411.

114921192960 is a `hidden beast` number, since 1 + 1 + 492 + 11 + 92 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 111 ways as a sum of consecutive naturals, for example, 248209689 + ... + 248210151.

Almost surely, 2^114921192960 is an apocalyptic number.

114921192960 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 114921192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249031918080).

114921192960 is an abundant number, since it is smaller than the sum of its proper divisors (383142643200).

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

114921192960 is an frugal number, since it uses more digits than its factorization.

114921192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 114921192960 in words is "one hundred fourteen billion, nine hundred twenty-one million, one hundred ninety-two thousand, nine hundred sixty".