114418552320 has 480 divisors, whose sum is σ = 413502721632. Its totient is φ = 30321672192.

The previous prime is 114418552319. The next prime is 114418552327. The reversal of 114418552320 is 23255814411.

114418552320 is a `hidden beast` number, since 1 + 1 + 4 + 418 + 5 + 5 + 232 + 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 not an unprimeable number, because it can be changed into a prime (114418552327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120060964 + ... + 120061916.

Almost surely, 2^114418552320 is an apocalyptic number.

114418552320 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 114418552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206751360816).

114418552320 is an abundant number, since it is smaller than the sum of its proper divisors (299084169312).

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

114418552320 is an frugal number, since it uses more digits than its factorization.

114418552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 114418552320 in words is "one hundred fourteen billion, four hundred eighteen million, five hundred fifty-two thousand, three hundred twenty".