114628585344 has 256 divisors, whose sum is σ = 375689664000. Its totient is φ = 30155710464.

The previous prime is 114628585327. The next prime is 114628585349. The reversal of 114628585344 is 443585826411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114628585349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14637622 + ... + 14645450.

It is an arithmetic number, because the mean of its divisors is an integer number (1467537750).

Almost surely, 2^114628585344 is an apocalyptic number.

114628585344 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 114628585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187844832000).

114628585344 is an abundant number, since it is smaller than the sum of its proper divisors (261061078656).

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

114628585344 is a wasteful number, since it uses less digits than its factorization.

114628585344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8285 (or 8273 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 114628585344 in words is "one hundred fourteen billion, six hundred twenty-eight million, five hundred eighty-five thousand, three hundred forty-four".