114132119472 has 720 divisors, whose sum is σ = 409798771200. Its totient is φ = 30680052480.

The previous prime is 114132119441. The next prime is 114132119531. The reversal of 114132119472 is 274911231411.

114132119472 is a `hidden beast` number, since 1 + 1 + 41 + 32 + 119 + 472 = 666.

It is a super-2 number, since 2×114132119472² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (12096) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1871018322 + ... + 1871018382.

It is an arithmetic number, because the mean of its divisors is an integer number (569164960).

Almost surely, 2^114132119472 is an apocalyptic number.

114132119472 is a gapful number since it is divisible by the number (12) 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 114132119472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204899385600).

114132119472 is an abundant number, since it is smaller than the sum of its proper divisors (295666651728).

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

114132119472 is an frugal number, since it uses more digits than its factorization.

114132119472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 96 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 114132119472 in words is "one hundred fourteen billion, one hundred thirty-two million, one hundred nineteen thousand, four hundred seventy-two".