114990687360 has 576 divisors, whose sum is σ = 443863887480. Its totient is φ = 27333033984.

The previous prime is 114990687319. The next prime is 114990687367. The reversal of 114990687360 is 63786099411.

114990687360 is a `hidden beast` number, since 11 + 499 + 0 + 6 + 87 + 3 + 60 = 666.

114990687360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114790860864 + 199826496 = 338808^2 + 14136^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 114990687297 and 114990687306.

It is not an unprimeable number, because it can be changed into a prime (114990687367) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 35347494 + ... + 35350746.

Almost surely, 2^114990687360 is an apocalyptic number.

114990687360 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 114990687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221931943740).

114990687360 is an abundant number, since it is smaller than the sum of its proper divisors (328873200120).

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

114990687360 is a wasteful number, since it uses less digits than its factorization.

114990687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 114990687360 in words is "one hundred fourteen billion, nine hundred ninety million, six hundred eighty-seven thousand, three hundred sixty".