114450420960 has 480 divisors, whose sum is σ = 423826603200. Its totient is φ = 29045882880.

The previous prime is 114450420923. The next prime is 114450420983. The reversal of 114450420960 is 69024054411.

114450420960 is a `hidden beast` number, since 1 + 1 + 44 + 504 + 20 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26682496 + ... + 26686784.

It is an arithmetic number, because the mean of its divisors is an integer number (882972090).

Almost surely, 2^114450420960 is an apocalyptic number.

114450420960 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 114450420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211913301600).

114450420960 is an abundant number, since it is smaller than the sum of its proper divisors (309376182240).

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

114450420960 is a wasteful number, since it uses less digits than its factorization.

114450420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 114450420960 in words is "one hundred fourteen billion, four hundred fifty million, four hundred twenty thousand, nine hundred sixty".