114478943160960 has 768 divisors, whose sum is σ = 454687462195200. Its totient is φ = 25998720491520.

The previous prime is 114478943160941. The next prime is 114478943160997. The reversal of 114478943160960 is 69061349874411.

114478943160960 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 7 + 89 + 431 + 60 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6830885061 + ... + 6830901819.

It is an arithmetic number, because the mean of its divisors is an integer number (592040966400).

Almost surely, 2^{114478943160960} is an apocalyptic number.

114478943160960 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 114478943160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227343731097600).

114478943160960 is an abundant number, since it is smaller than the sum of its proper divisors (340208519034240).

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

114478943160960 is a wasteful number, since it uses less digits than its factorization.

114478943160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17869 (or 17854 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 114478943160960 in words is "one hundred fourteen trillion, four hundred seventy-eight billion, nine hundred forty-three million, one hundred sixty thousand, nine hundred sixty".