114631387920 has 1200 divisors, whose sum is σ = 489532507200. Its totient is φ = 24751319040.

The previous prime is 114631387909. The next prime is 114631387943. The reversal of 114631387920 is 29783136411.

114631387920 is a `hidden beast` number, since 1 + 1 + 4 + 631 + 3 + 8 + 7 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 543276615 + ... + 543276825.

It is an arithmetic number, because the mean of its divisors is an integer number (407943756).

Almost surely, 2^114631387920 is an apocalyptic number.

114631387920 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 114631387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244766253600).

114631387920 is an abundant number, since it is smaller than the sum of its proper divisors (374901119280).

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

114631387920 is a wasteful number, since it uses less digits than its factorization.

114631387920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 114631387920 in words is "one hundred fourteen billion, six hundred thirty-one million, three hundred eighty-seven thousand, nine hundred twenty".