114684080004 has 288 divisors, whose sum is σ = 336142270464. Its totient is φ = 32691859200.

The previous prime is 114684079987. The next prime is 114684080089. The reversal of 114684080004 is 400080486411.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 58781229 + ... + 58783179.

Almost surely, 2^114684080004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114684080004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168071135232).

114684080004 is an abundant number, since it is smaller than the sum of its proper divisors (221458190460).

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

114684080004 is a wasteful number, since it uses less digits than its factorization.

114684080004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2162 counting only the distinct ones).

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

The spelling of 114684080004 in words is "one hundred fourteen billion, six hundred eighty-four million, eighty thousand, four".