2225577618432 has 1584 divisors, whose sum is σ = 8544404643840. Its totient is φ = 543114657792.

The previous prime is 2225577618421. The next prime is 2225577618487. The reversal of 2225577618432 is 2348167755222.

2225577618432 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 577 + 61 + 8 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×2225577618432² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17524233153 + ... + 17524233279.

Almost surely, 2^{2225577618432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225577618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272202321920).

2225577618432 is an abundant number, since it is smaller than the sum of its proper divisors (6318827025408).

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

2225577618432 is a wasteful number, since it uses less digits than its factorization.

2225577618432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 204 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 2225577618432 in words is "two trillion, two hundred twenty-five billion, five hundred seventy-seven million, six hundred eighteen thousand, four hundred thirty-two".