114532024345400 has 48 divisors (see below), whose sum is σ = 266307432093600. Its totient is φ = 45809287073280.

The previous prime is 114532024345379. The next prime is 114532024345421. The reversal of 114532024345400 is 4543420235411.

It is an interprime number because it is at equal distance from previous prime (114532024345379) and next prime (114532024345421).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19408352 + ... + 24611951.

It is an arithmetic number, because the mean of its divisors is an integer number (5548071501950).

Almost surely, 2^{114532024345400} is an apocalyptic number.

114532024345400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114532024345400 is an abundant number, since it is smaller than the sum of its proper divisors (151775407748200).

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

114532024345400 is a wasteful number, since it uses less digits than its factorization.

114532024345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44033328 (or 44033319 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 114532024345400 in words is "one hundred fourteen trillion, five hundred thirty-two billion, twenty-four million, three hundred forty-five thousand, four hundred".