114617579040 has 336 divisors, whose sum is σ = 427366497600. Its totient is φ = 28955460096.

The previous prime is 114617579039. The next prime is 114617579047. The reversal of 114617579040 is 40975716411.

114617579040 is a `hidden beast` number, since 1 + 14 + 61 + 7 + 579 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114617579047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2190301 + ... + 2242019.

It is an arithmetic number, because the mean of its divisors is an integer number (1271924100).

Almost surely, 2^114617579040 is an apocalyptic number.

114617579040 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 114617579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213683248800).

114617579040 is an abundant number, since it is smaller than the sum of its proper divisors (312748918560).

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

114617579040 is an equidigital number, since it uses as much as digits as its factorization.

114617579040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51771 (or 51748 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 114617579040 in words is "one hundred fourteen billion, six hundred seventeen million, five hundred seventy-nine thousand, forty".