114519432960 has 720 divisors, whose sum is σ = 425666368512. Its totient is φ = 29378764800.

The previous prime is 114519432959. The next prime is 114519433027. The reversal of 114519432960 is 69234915411.

114519432960 is a `hidden beast` number, since 1 + 1 + 4 + 519 + 43 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×114519432960² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 345979995 + ... + 345980325.

Almost surely, 2^114519432960 is an apocalyptic number.

114519432960 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 114519432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212833184256).

114519432960 is an abundant number, since it is smaller than the sum of its proper divisors (311146935552).

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

114519432960 is an equidigital number, since it uses as much as digits as its factorization.

114519432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 114519432960 in words is "one hundred fourteen billion, five hundred nineteen million, four hundred thirty-two thousand, nine hundred sixty".