114478560000 has 1080 divisors, whose sum is σ = 484617797664. Its totient is φ = 25436160000.

The previous prime is 114478559879. The next prime is 114478560013. The reversal of 114478560000 is 65874411.

It is a happy number.

114478560000 is a `hidden beast` number, since 1 + 1 + 4 + 47 + 8 + 5 + 600 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 413279862 + ... + 413280138.

Almost surely, 2^114478560000 is an apocalyptic number.

114478560000 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 114478560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242308898832).

114478560000 is an abundant number, since it is smaller than the sum of its proper divisors (370139237664).

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

114478560000 is an equidigital number, since it uses as much as digits as its factorization.

114478560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 114478560000 in words is "one hundred fourteen billion, four hundred seventy-eight million, five hundred sixty thousand".