114488680255488 has 2496 divisors, whose sum is σ = 445773249331200. Its totient is φ = 28390470451200.

The previous prime is 114488680255483. The next prime is 114488680255513. The reversal of 114488680255488 is 884552086884411.

114488680255488 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 8 + 8 + 68 + 0 + 2 + 554 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (114488680255483) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258439458595 + ... + 258439459037.

Almost surely, 2^{114488680255488} is an apocalyptic number.

114488680255488 is a gapful number since it is divisible by the number (18) 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 114488680255488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222886624665600).

114488680255488 is an abundant number, since it is smaller than the sum of its proper divisors (331284569075712).

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

114488680255488 is a wasteful number, since it uses less digits than its factorization.

114488680255488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 629145600, while the sum is 72.

The spelling of 114488680255488 in words is "one hundred fourteen trillion, four hundred eighty-eight billion, six hundred eighty million, two hundred fifty-five thousand, four hundred eighty-eight".