114089387520 has 320 divisors, whose sum is σ = 376847665920. Its totient is φ = 29423075328.

The previous prime is 114089387501. The next prime is 114089387537. The reversal of 114089387520 is 25783980411.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 114089387520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50863519 + ... + 50865761.

It is an arithmetic number, because the mean of its divisors is an integer number (1177648956).

Almost surely, 2^114089387520 is an apocalyptic number.

114089387520 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 114089387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188423832960).

114089387520 is an abundant number, since it is smaller than the sum of its proper divisors (262758278400).

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

114089387520 is a wasteful number, since it uses less digits than its factorization.

114089387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 114089387520 in words is "one hundred fourteen billion, eighty-nine million, three hundred eighty-seven thousand, five hundred twenty".