114425717952 has 448 divisors, whose sum is σ = 404917452800. Its totient is φ = 27665141760.

The previous prime is 114425717951. The next prime is 114425717999. The reversal of 114425717952 is 259717524411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (114425717951) 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, 10285449 + ... + 10296567.

It is an arithmetic number, because the mean of its divisors is an integer number (903833600).

Almost surely, 2^114425717952 is an apocalyptic number.

114425717952 is a gapful number since it is divisible by the number (12) 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 114425717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202458726400).

114425717952 is an abundant number, since it is smaller than the sum of its proper divisors (290491734848).

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

114425717952 is a wasteful number, since it uses less digits than its factorization.

114425717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 11194 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The spelling of 114425717952 in words is "one hundred fourteen billion, four hundred twenty-five million, seven hundred seventeen thousand, nine hundred fifty-two".