2256939148464 has 640 divisors, whose sum is σ = 8910289704960. Its totient is φ = 527921971200.

The previous prime is 2256939148441. The next prime is 2256939148483. The reversal of 2256939148464 is 4648419396522.

2256939148464 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 9 + 3 + 91 + 484 + 64 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17666064 + ... + 17793360.

It is an arithmetic number, because the mean of its divisors is an integer number (13922327664).

Almost surely, 2^{2256939148464} is an apocalyptic number.

2256939148464 is a gapful number since it is divisible by the number (24) 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 2256939148464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455144852480).

2256939148464 is an abundant number, since it is smaller than the sum of its proper divisors (6653350556496).

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

2256939148464 is a wasteful number, since it uses less digits than its factorization.

2256939148464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127386 (or 127374 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 2256939148464 in words is "two trillion, two hundred fifty-six billion, nine hundred thirty-nine million, one hundred forty-eight thousand, four hundred sixty-four".