2256218483364 has 96 divisors (see below), whose sum is σ = 5924844576000. Its totient is φ = 742407545088.

The previous prime is 2256218483327. The next prime is 2256218483383. The reversal of 2256218483364 is 4633848126522.

2256218483364 is a `hidden beast` number, since 2 + 2 + 5 + 621 + 8 + 4 + 8 + 3 + 3 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2256218483364.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5700697 + ... + 6083615.

It is an arithmetic number, because the mean of its divisors is an integer number (61717131000).

Almost surely, 2^{2256218483364} 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 2256218483364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962422288000).

2256218483364 is an abundant number, since it is smaller than the sum of its proper divisors (3668626092636).

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

2256218483364 is a wasteful number, since it uses less digits than its factorization.

2256218483364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383634 (or 383626 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 2256218483364 in words is "two trillion, two hundred fifty-six billion, two hundred eighteen million, four hundred eighty-three thousand, three hundred sixty-four".