114274175328 has 288 divisors, whose sum is σ = 346962994560. Its totient is φ = 36975191040.

The previous prime is 114274175293. The next prime is 114274175347. The reversal of 114274175328 is 823571472411.

It is a happy number.

114274175328 is a `hidden beast` number, since 1 + 1 + 42 + 74 + 1 + 7 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72370443 + ... + 72372021.

It is an arithmetic number, because the mean of its divisors is an integer number (1204732620).

Almost surely, 2^114274175328 is an apocalyptic number.

114274175328 is a gapful number since it is divisible by the number (18) 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 114274175328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173481497280).

114274175328 is an abundant number, since it is smaller than the sum of its proper divisors (232688819232).

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

114274175328 is a wasteful number, since it uses less digits than its factorization.

114274175328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1852 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 114274175328 in words is "one hundred fourteen billion, two hundred seventy-four million, one hundred seventy-five thousand, three hundred twenty-eight".