114801878016 has 528 divisors, whose sum is σ = 416092150656. Its totient is φ = 30863130624.

The previous prime is 114801877973. The next prime is 114801878027. The reversal of 114801878016 is 610878108411.

114801878016 is a `hidden beast` number, since 1 + 1 + 480 + 1 + 87 + 80 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29609070 + ... + 29612946.

Almost surely, 2^114801878016 is an apocalyptic number.

114801878016 is a gapful number since it is divisible by the number (16) 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 114801878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208046075328).

114801878016 is an abundant number, since it is smaller than the sum of its proper divisors (301290272640).

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

114801878016 is an equidigital number, since it uses as much as digits as its factorization.

114801878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 114801878016 in words is "one hundred fourteen billion, eight hundred one million, eight hundred seventy-eight thousand, sixteen".