2225599476128 has 144 divisors (see below), whose sum is σ = 5310624985344. Its totient is φ = 914430827520.

The previous prime is 2225599476049. The next prime is 2225599476137. The reversal of 2225599476128 is 8216749955222.

It is a Smith number, since the sum of its digits (62) 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 (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4987100 + ... + 5415012.

It is an arithmetic number, because the mean of its divisors is an integer number (36879340176).

Almost surely, 2^{2225599476128} is an apocalyptic number.

2225599476128 is a gapful number since it is divisible by the number (28) 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 2225599476128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655312492672).

2225599476128 is an abundant number, since it is smaller than the sum of its proper divisors (3085025509216).

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

2225599476128 is a wasteful number, since it uses less digits than its factorization.

2225599476128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428075 (or 428060 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 62.

The spelling of 2225599476128 in words is "two trillion, two hundred twenty-five billion, five hundred ninety-nine million, four hundred seventy-six thousand, one hundred twenty-eight".