114340625664 has 72 divisors (see below), whose sum is σ = 304759762272. Its totient is φ = 38057564160.

The previous prime is 114340625647. The next prime is 114340625683. The reversal of 114340625664 is 466526043411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415554 + ... + 633534.

It is an arithmetic number, because the mean of its divisors is an integer number (4232774476).

Almost surely, 2^114340625664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114340625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152379881136).

114340625664 is an abundant number, since it is smaller than the sum of its proper divisors (190419136608).

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

114340625664 is an equidigital number, since it uses as much as digits as its factorization.

114340625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218683 (or 218669 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 114340625664 in words is "one hundred fourteen billion, three hundred forty million, six hundred twenty-five thousand, six hundred sixty-four".