225017245638144 has 80 divisors (see below), whose sum is σ = 666066673327440. Its totient is φ = 75005748541440.

The previous prime is 225017245638139. The next prime is 225017245638169. The reversal of 225017245638144 is 441836542710522.

225017245638144 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 1 + 72 + 4 + 563 + 8 + 1 + 4 + 4 = 666.

225017245638144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8138630767 + ... + 8138658414.

It is an arithmetic number, because the mean of its divisors is an integer number (8325833416593).

Almost surely, 2^{225017245638144} is an apocalyptic number.

225017245638144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225017245638144 is an abundant number, since it is smaller than the sum of its proper divisors (441049427689296).

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

225017245638144 is an equidigital number, since it uses as much as digits as its factorization.

225017245638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16277289208 (or 16277289186 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 225017245638144 in words is "two hundred twenty-five trillion, seventeen billion, two hundred forty-five million, six hundred thirty-eight thousand, one hundred forty-four".