114817560480 has 576 divisors, whose sum is σ = 469551116160. Its totient is φ = 26127360000.

The previous prime is 114817560457. The next prime is 114817560497. The reversal of 114817560480 is 84065718411.

114817560480 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 1 + 7 + 560 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 53130600 + ... + 53132760.

It is an arithmetic number, because the mean of its divisors is an integer number (815192910).

Almost surely, 2^114817560480 is an apocalyptic number.

114817560480 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 114817560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234775558080).

114817560480 is an abundant number, since it is smaller than the sum of its proper divisors (354733555680).

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

114817560480 is a wasteful number, since it uses less digits than its factorization.

114817560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 114817560480 in words is "one hundred fourteen billion, eight hundred seventeen million, five hundred sixty thousand, four hundred eighty".