114559501056 has 1728 divisors, whose sum is σ = 467672432640. Its totient is φ = 24086937600.

The previous prime is 114559501031. The next prime is 114559501097. The reversal of 114559501056 is 650105955411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 114559500999 and 114559501017.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3695467761 + ... + 3695467791.

Almost surely, 2^114559501056 is an apocalyptic number.

114559501056 is a gapful number since it is divisible by the number (16) 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 114559501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233836216320).

114559501056 is an abundant number, since it is smaller than the sum of its proper divisors (353112931584).

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

114559501056 is a wasteful number, since it uses less digits than its factorization.

114559501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 114559501056 in words is "one hundred fourteen billion, five hundred fifty-nine million, five hundred one thousand, fifty-six".