114912645120 has 1872 divisors, whose sum is σ = 538759683072. Its totient is φ = 22083010560.

The previous prime is 114912645091. The next prime is 114912645167. The reversal of 114912645120 is 21546219411.

114912645120 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 1 + 2 + 645 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3706859505 + ... + 3706859535.

It is an arithmetic number, because the mean of its divisors is an integer number (287798976).

Almost surely, 2^114912645120 is an apocalyptic number.

114912645120 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 114912645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269379841536).

114912645120 is an abundant number, since it is smaller than the sum of its proper divisors (423847037952).

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

114912645120 is a wasteful number, since it uses less digits than its factorization.

114912645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 114912645120 in words is "one hundred fourteen billion, nine hundred twelve million, six hundred forty-five thousand, one hundred twenty".