1256664431352 has 128 divisors (see below), whose sum is σ = 3464220533760. Its totient is φ = 376705105920.

The previous prime is 1256664431317. The next prime is 1256664431369. The reversal of 1256664431352 is 2531344666521.

It is a congruent number.

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, 61013568 + ... + 61034160.

It is an arithmetic number, because the mean of its divisors is an integer number (27064222920).

Almost surely, 2^{1256664431352} is an apocalyptic number.

1256664431352 is a gapful number since it is divisible by the number (12) 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 1256664431352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732110266880).

1256664431352 is an abundant number, since it is smaller than the sum of its proper divisors (2207556102408).

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

1256664431352 is a wasteful number, since it uses less digits than its factorization.

1256664431352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23093 (or 23089 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 1256664431352 in words is "one trillion, two hundred fifty-six billion, six hundred sixty-four million, four hundred thirty-one thousand, three hundred fifty-two".