114055256520 has 128 divisors (see below), whose sum is σ = 393294096000. Its totient is φ = 29365943040.

The previous prime is 114055256507. The next prime is 114055256533. The reversal of 114055256520 is 25652550411.

114055256520 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 552 + 56 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114055256507) and next prime (114055256533).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1789486 + ... + 1852125.

It is an arithmetic number, because the mean of its divisors is an integer number (3072610125).

Almost surely, 2^114055256520 is an apocalyptic number.

114055256520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114055256520 is an abundant number, since it is smaller than the sum of its proper divisors (279238839480).

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

114055256520 is a wasteful number, since it uses less digits than its factorization.

114055256520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641660 (or 3641650 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 114055256520 in words is "one hundred fourteen billion, fifty-five million, two hundred fifty-six thousand, five hundred twenty".