114791414400 has 576 divisors, whose sum is σ = 443197492920. Its totient is φ = 28122808320.

The previous prime is 114791414359. The next prime is 114791414401. The reversal of 114791414400 is 4414197411.

114791414400 is a `hidden beast` number, since 1 + 1 + 4 + 79 + 141 + 440 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16802381376 + 97989033024 = 129624^2 + 313032^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (114791414401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96220204 + ... + 96221396.

Almost surely, 2^114791414400 is an apocalyptic number.

114791414400 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 114791414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221598746460).

114791414400 is an abundant number, since it is smaller than the sum of its proper divisors (328406078520).

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

114791414400 is a wasteful number, since it uses less digits than its factorization.

114791414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 114791414400 in words is "one hundred fourteen billion, seven hundred ninety-one million, four hundred fourteen thousand, four hundred".