2247136448256 has 432 divisors, whose sum is σ = 7554490600384. Its totient is φ = 629158772736.

The previous prime is 2247136448233. The next prime is 2247136448281. The reversal of 2247136448256 is 6528446317422.

It is a happy number.

2247136448256 is a `hidden beast` number, since 2 + 2 + 47 + 13 + 64 + 482 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184836930 + ... + 184849086.

Almost surely, 2^{2247136448256} 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 2247136448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777245300192).

2247136448256 is an abundant number, since it is smaller than the sum of its proper divisors (5307354152128).

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

2247136448256 is a wasteful number, since it uses less digits than its factorization.

2247136448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12416 (or 12399 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 2247136448256 in words is "two trillion, two hundred forty-seven billion, one hundred thirty-six million, four hundred forty-eight thousand, two hundred fifty-six".