114779508480 has 864 divisors, whose sum is σ = 493979006976. Its totient is φ = 23959535616.

The previous prime is 114779508463. The next prime is 114779508517. The reversal of 114779508480 is 84805977411.

114779508480 is a `hidden beast` number, since 1 + 1 + 4 + 77 + 95 + 0 + 8 + 480 = 666.

114779508480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107976429 + ... + 107977491.

Almost surely, 2^114779508480 is an apocalyptic number.

114779508480 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 114779508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246989503488).

114779508480 is an abundant number, since it is smaller than the sum of its proper divisors (379199498496).

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

114779508480 is a wasteful number, since it uses less digits than its factorization.

114779508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 114779508480 in words is "one hundred fourteen billion, seven hundred seventy-nine million, five hundred eight thousand, four hundred eighty".