114710133664 has 144 divisors (see below), whose sum is σ = 276821284320. Its totient is φ = 46525570560.

The previous prime is 114710133631. The next prime is 114710133667. The reversal of 114710133664 is 466331017411.

It is not an unprimeable number, because it can be changed into a prime (114710133667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47576619 + ... + 47579029.

It is an arithmetic number, because the mean of its divisors is an integer number (1922370030).

Almost surely, 2^114710133664 is an apocalyptic number.

114710133664 is a gapful number since it is divisible by the number (14) 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 114710133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138410642160).

114710133664 is an abundant number, since it is smaller than the sum of its proper divisors (162111150656).

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

114710133664 is a wasteful number, since it uses less digits than its factorization.

114710133664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 114710133664 in words is "one hundred fourteen billion, seven hundred ten million, one hundred thirty-three thousand, six hundred sixty-four".