114936835129920 has 336 divisors, whose sum is σ = 419588907978240. Its totient is φ = 28778039820288.

The previous prime is 114936835129873. The next prime is 114936835129967. The reversal of 114936835129920 is 29921538639411.

114936835129920 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 3 + 6 + 8 + 3 + 512 + 99 + 20 = 666.

114936835129920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114936835129873) and next prime (114936835129967).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 17712849 + ... + 23315631.

It is an arithmetic number, because the mean of its divisors is an integer number (1248776511840).

Almost surely, 2^{114936835129920} is an apocalyptic number.

114936835129920 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 114936835129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209794453989120).

114936835129920 is an abundant number, since it is smaller than the sum of its proper divisors (304652072848320).

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

114936835129920 is a wasteful number, since it uses less digits than its factorization.

114936835129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603242 (or 5603229 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 114936835129920 in words is "one hundred fourteen trillion, nine hundred thirty-six billion, eight hundred thirty-five million, one hundred twenty-nine thousand, nine hundred twenty".