114875301590400 has 384 divisors, whose sum is σ = 407505355488000. Its totient is φ = 28274956738560.

The previous prime is 114875301590393. The next prime is 114875301590411. The reversal of 114875301590400 is 4095103578411.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114875301590400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2458411837 + ... + 2458458563.

It is an arithmetic number, because the mean of its divisors is an integer number (1061211863250).

Almost surely, 2^{114875301590400} is an apocalyptic number.

114875301590400 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 114875301590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203752677744000).

114875301590400 is an abundant number, since it is smaller than the sum of its proper divisors (292630053897600).

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

114875301590400 is a wasteful number, since it uses less digits than its factorization.

114875301590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66466 (or 66449 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 114875301590400 in words is "one hundred fourteen trillion, eight hundred seventy-five billion, three hundred one million, five hundred ninety thousand, four hundred".