114631587504 has 220 divisors, whose sum is σ = 380760446736. Its totient is φ = 32749992576.

The previous prime is 114631587463. The next prime is 114631587523. The reversal of 114631587504 is 405785136411.

114631587504 is a `hidden beast` number, since 1 + 1 + 4 + 63 + 1 + 5 + 87 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114631587504.

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 43 ways as a sum of consecutive naturals, for example, 6604822 + ... + 6622154.

Almost surely, 2^114631587504 is an apocalyptic number.

114631587504 is a gapful number since it is divisible by the number (14) 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 114631587504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190380223368).

114631587504 is an abundant number, since it is smaller than the sum of its proper divisors (266128859232).

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

114631587504 is an frugal number, since it uses more digits than its factorization.

114631587504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17378 (or 17345 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 114631587504 in words is "one hundred fourteen billion, six hundred thirty-one million, five hundred eighty-seven thousand, five hundred four".