114004566240 has 96 divisors (see below), whose sum is σ = 359485693056. Its totient is φ = 30369784320.

The previous prime is 114004566239. The next prime is 114004566281. The reversal of 114004566240 is 42665400411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114004566240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343779 + ... + 588381.

It is an arithmetic number, because the mean of its divisors is an integer number (3744642636).

Almost surely, 2^114004566240 is an apocalyptic number.

114004566240 is a gapful number since it is divisible by the number (10) 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 114004566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179742846528).

114004566240 is an abundant number, since it is smaller than the sum of its proper divisors (245481126816).

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

114004566240 is a wasteful number, since it uses less digits than its factorization.

114004566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245592 (or 245584 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 114004566240 its reverse (42665400411), we get a palindrome (156669966651).

The spelling of 114004566240 in words is "one hundred fourteen billion, four million, five hundred sixty-six thousand, two hundred forty".