114884640000 has 1620 divisors, whose sum is σ = 498127826196. Its totient is φ = 25214976000.

The previous prime is 114884639977. The next prime is 114884640011. The reversal of 114884640000 is 46488411.

114884640000 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 8 + 4 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 92786033664 + 22098606336 = 304608^2 + 148656^2 .

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 (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6046559991 + ... + 6046560009.

Almost surely, 2^114884640000 is an apocalyptic number.

114884640000 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 114884640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249063913098).

114884640000 is an abundant number, since it is smaller than the sum of its proper divisors (383243186196).

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

114884640000 is a wasteful number, since it uses less digits than its factorization.

114884640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 114884640000 in words is "one hundred fourteen billion, eight hundred eighty-four million, six hundred forty thousand".