114401372832 has 72 divisors (see below), whose sum is σ = 325730714400. Its totient is φ = 38086692480.

The previous prime is 114401372831. The next prime is 114401372927. The reversal of 114401372832 is 238273104411.

114401372832 is a `hidden beast` number, since 1 + 1 + 440 + 137 + 2 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (114401372831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11332 + ... + 478467.

It is an arithmetic number, because the mean of its divisors is an integer number (4524037700).

Almost surely, 2^114401372832 is an apocalyptic number.

114401372832 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 114401372832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162865357200).

114401372832 is an abundant number, since it is smaller than the sum of its proper divisors (211329341568).

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

114401372832 is a wasteful number, since it uses less digits than its factorization.

114401372832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490626 (or 490615 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 114401372832 in words is "one hundred fourteen billion, four hundred one million, three hundred seventy-two thousand, eight hundred thirty-two".