114880880448 has 112 divisors (see below), whose sum is σ = 338976126720. Its totient is φ = 38152166400.

The previous prime is 114880880431. The next prime is 114880880461. The reversal of 114880880448 is 844088088411.

114880880448 is a `hidden beast` number, since 1 + 1 + 48 + 80 + 8 + 80 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114880880394 and 114880880403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345628 + ... + 590948.

It is an arithmetic number, because the mean of its divisors is an integer number (3026572560).

Almost surely, 2^114880880448 is an apocalyptic number.

114880880448 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 114880880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169488063360).

114880880448 is an abundant number, since it is smaller than the sum of its proper divisors (224095246272).

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

114880880448 is a wasteful number, since it uses less digits than its factorization.

114880880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245613 (or 245597 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 54.

The spelling of 114880880448 in words is "one hundred fourteen billion, eight hundred eighty million, eight hundred eighty thousand, four hundred forty-eight".