114542230225320 has 160 divisors (see below), whose sum is σ = 385097924562120. Its totient is φ = 30535965688320.

The previous prime is 114542230225273. The next prime is 114542230225351. The reversal of 114542230225320 is 23522032245411.

114542230225320 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 2 + 2 + 302 + 25 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82625809335876 + 31916420889444 = 9089874^2 + 5649462^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6480954 + ... + 16464726.

Almost surely, 2^{114542230225320} is an apocalyptic number.

114542230225320 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 114542230225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192548962281060).

114542230225320 is an abundant number, since it is smaller than the sum of its proper divisors (270555694336800).

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

114542230225320 is a wasteful number, since it uses less digits than its factorization.

114542230225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987337 (or 9987324 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 114542230225320 in words is "one hundred fourteen trillion, five hundred forty-two billion, two hundred thirty million, two hundred twenty-five thousand, three hundred twenty".