114552887520 has 192 divisors, whose sum is σ = 370138374144. Its totient is φ = 29763901440.

The previous prime is 114552887509. The next prime is 114552887539. The reversal of 114552887520 is 25788255411.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its 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 114552887520.

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, 8682849 + ... + 8696031.

It is an arithmetic number, because the mean of its divisors is an integer number (1927804032).

Almost surely, 2^114552887520 is an apocalyptic number.

114552887520 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 114552887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185069187072).

114552887520 is an abundant number, since it is smaller than the sum of its proper divisors (255585486624).

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

114552887520 is a wasteful number, since it uses less digits than its factorization.

114552887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13665 (or 13657 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 48.

The spelling of 114552887520 in words is "one hundred fourteen billion, five hundred fifty-two million, eight hundred eighty-seven thousand, five hundred twenty".