1056465144 has 192 divisors, whose sum is σ = 3387733440. Its totient is φ = 291133440.

The previous prime is 1056465143. The next prime is 1056465149. The reversal of 1056465144 is 4415646501.

1056465144 is a `hidden beast` number, since 1 + 0 + 5 + 646 + 5 + 1 + 4 + 4 = 666.

It is a super-3 number, since 3×1056465144³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 1056465099 and 1056465108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056465143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3375132 + ... + 3375444.

It is an arithmetic number, because the mean of its divisors is an integer number (17644445).

Almost surely, 2^1056465144 is an apocalyptic number.

1056465144 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 1056465144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693866720).

1056465144 is an abundant number, since it is smaller than the sum of its proper divisors (2331268296).

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

1056465144 is a wasteful number, since it uses less digits than its factorization.

1056465144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1056465144 is about 32503.3097391635. The cubic root of 1056465144 is about 1018.4781688634.

The spelling of 1056465144 in words is "one billion, fifty-six million, four hundred sixty-five thousand, one hundred forty-four".