1256116344 has 128 divisors (see below), whose sum is σ = 3762823680. Its totient is φ = 341913600.

The previous prime is 1256116343. The next prime is 1256116357. The reversal of 1256116344 is 4436116521.

1256116344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256116343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294064 + ... + 298304.

It is an arithmetic number, because the mean of its divisors is an integer number (29397060).

Almost surely, 2^1256116344 is an apocalyptic number.

1256116344 is a gapful number since it is divisible by the number (14) 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 1256116344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881411840).

1256116344 is an abundant number, since it is smaller than the sum of its proper divisors (2506707336).

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

1256116344 is a wasteful number, since it uses less digits than its factorization.

1256116344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4337 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1256116344 is about 35441.7316732690. The cubic root of 1256116344 is about 1078.9714556129.

The spelling of 1256116344 in words is "one billion, two hundred fifty-six million, one hundred sixteen thousand, three hundred forty-four".