1056144096 has 144 divisors (see below), whose sum is σ = 3559780224. Its totient is φ = 301739904.

The previous prime is 1056144029. The next prime is 1056144137. The reversal of 1056144096 is 6904416501.

1056144096 is a `hidden beast` number, since 1 + 0 + 561 + 4 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1056144096² = 2230880703031314432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1056144096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44731 + ... + 64133.

It is an arithmetic number, because the mean of its divisors is an integer number (24720696).

Almost surely, 2^1056144096 is an apocalyptic number.

1056144096 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 1056144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779890112).

1056144096 is an abundant number, since it is smaller than the sum of its proper divisors (2503636128).

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

1056144096 is an equidigital number, since it uses as much as digits as its factorization.

1056144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19435 (or 19415 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1056144096 is about 32498.3706668504. The cubic root of 1056144096 is about 1018.3749903507.

The spelling of 1056144096 in words is "one billion, fifty-six million, one hundred forty-four thousand, ninety-six".