114544635464 has 128 divisors (see below), whose sum is σ = 257471136000. Its totient is φ = 46737309696.

The previous prime is 114544635451. The next prime is 114544635479. The reversal of 114544635464 is 464536445411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67497464 + ... + 67499160.

It is an arithmetic number, because the mean of its divisors is an integer number (2011493250).

Almost surely, 2^114544635464 is an apocalyptic number.

114544635464 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 114544635464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128735568000).

114544635464 is an abundant number, since it is smaller than the sum of its proper divisors (142926500536).

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

114544635464 is a wasteful number, since it uses less digits than its factorization.

114544635464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2291 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 47.

The spelling of 114544635464 in words is "one hundred fourteen billion, five hundred forty-four million, six hundred thirty-five thousand, four hundred sixty-four".