114762064560 has 320 divisors, whose sum is σ = 442546675200. Its totient is φ = 24170250240.

The previous prime is 114762064553. The next prime is 114762064561. The reversal of 114762064560 is 65460267411.

It is not an unprimeable number, because it can be changed into a prime (114762064561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485091 + ... + 681789.

It is an arithmetic number, because the mean of its divisors is an integer number (1382958360).

Almost surely, 2^114762064560 is an apocalyptic number.

114762064560 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 114762064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221273337600).

114762064560 is an abundant number, since it is smaller than the sum of its proper divisors (327784610640).

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

114762064560 is a wasteful number, since it uses less digits than its factorization.

114762064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196756 (or 196750 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 114762064560 in words is "one hundred fourteen billion, seven hundred sixty-two million, sixty-four thousand, five hundred sixty".