1256034816 has 160 divisors (see below), whose sum is σ = 3806214720. Its totient is φ = 408748032.

The previous prime is 1256034809. The next prime is 1256034821. The reversal of 1256034816 is 6184306521.

It is a happy number.

1256034816 is a `hidden beast` number, since 1 + 2 + 5 + 603 + 48 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593376 + ... + 595488.

It is an arithmetic number, because the mean of its divisors is an integer number (23788842).

Almost surely, 2^1256034816 is an apocalyptic number.

1256034816 is a gapful number since it is divisible by the number (16) 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 1256034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903107360).

1256034816 is an abundant number, since it is smaller than the sum of its proper divisors (2550179904).

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

1256034816 is an equidigital number, since it uses as much as digits as its factorization.

1256034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1256034816 is about 35440.5814850716. The cubic root of 1256034816 is about 1078.9481116266.

The spelling of 1256034816 in words is "one billion, two hundred fifty-six million, thirty-four thousand, eight hundred sixteen".