2256191479332 has 576 divisors, whose sum is σ = 6917654016000. Its totient is φ = 619470512640.

The previous prime is 2256191479303. The next prime is 2256191479349. The reversal of 2256191479332 is 2339741916522.

It is a happy number.

2256191479332 is a `hidden beast` number, since 2 + 2 + 5 + 619 + 14 + 7 + 9 + 3 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8029151032 + ... + 8029151312.

It is an arithmetic number, because the mean of its divisors is an integer number (12009816000).

Almost surely, 2^{2256191479332} 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 2256191479332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458827008000).

2256191479332 is an abundant number, since it is smaller than the sum of its proper divisors (4661462536668).

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

2256191479332 is a wasteful number, since it uses less digits than its factorization.

2256191479332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 2256191479332 in words is "two trillion, two hundred fifty-six billion, one hundred ninety-one million, four hundred seventy-nine thousand, three hundred thirty-two".