114124633920 has 1008 divisors, whose sum is σ = 479351815488. Its totient is φ = 24626626560.

The previous prime is 114124633913. The next prime is 114124633943. The reversal of 114124633920 is 29336421411.

114124633920 is a `hidden beast` number, since 1 + 1 + 4 + 12 + 4 + 633 + 9 + 2 + 0 = 666.

114124633920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×114124633920³ (a number of 34 digits) contains 333 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194419867 + ... + 194420453.

It is an arithmetic number, because the mean of its divisors is an integer number (475547436).

Almost surely, 2^114124633920 is an apocalyptic number.

114124633920 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 114124633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239675907744).

114124633920 is an abundant number, since it is smaller than the sum of its proper divisors (365227181568).

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

114124633920 is a wasteful number, since it uses less digits than its factorization.

114124633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 114124633920 in words is "one hundred fourteen billion, one hundred twenty-four million, six hundred thirty-three thousand, nine hundred twenty".