114102529568440 has 64 divisors (see below), whose sum is σ = 293407507676160. Its totient is φ = 39120733537920.

The previous prime is 114102529568413. The next prime is 114102529568441. The reversal of 114102529568440 is 44865925201411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114102529568441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116499409 + ... + 117474751.

It is an arithmetic number, because the mean of its divisors is an integer number (4584492307440).

Almost surely, 2^{114102529568440} is an apocalyptic number.

114102529568440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114102529568440 is an abundant number, since it is smaller than the sum of its proper divisors (179304978107720).

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

114102529568440 is a wasteful number, since it uses less digits than its factorization.

114102529568440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393172 (or 1393168 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 114102529568440 in words is "one hundred fourteen trillion, one hundred two billion, five hundred twenty-nine million, five hundred sixty-eight thousand, four hundred forty".