1056145664 has 72 divisors (see below), whose sum is σ = 2492535360. Its totient is φ = 437004288.

The previous prime is 1056145633. The next prime is 1056145697. The reversal of 1056145664 is 4665416501.

It is a happy number.

It is a super-2 number, since 2×1056145664² = 2230887327172001792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41807 + ... + 62129.

Almost surely, 2^1056145664 is an apocalyptic number.

1056145664 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 1056145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246267680).

1056145664 is an abundant number, since it is smaller than the sum of its proper divisors (1436389696).

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

1056145664 is an equidigital number, since it uses as much as digits as its factorization.

1056145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20375 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 1056145664 is about 32498.3947911278. The cubic root of 1056145664 is about 1018.3754943259.

The spelling of 1056145664 in words is "one billion, fifty-six million, one hundred forty-five thousand, six hundred sixty-four".