1056145466331 has 32 divisors (see below), whose sum is σ = 1607072354880. Its totient is φ = 685014340608.

The previous prime is 1056145466309. The next prime is 1056145466333. The reversal of 1056145466331 is 1336645416501.

1056145466331 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 4 + 5 + 4 + 6 + 633 + 1 = 666.

It is not a de Polignac number, because 1056145466331 - 2⁶ = 1056145466267 is a prime.

It is a super-2 number, since 2×1056145466331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056145466333) 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, 16048065 + ... + 16113741.

It is an arithmetic number, because the mean of its divisors is an integer number (50221011090).

Almost surely, 2^{1056145466331} is an apocalyptic number.

1056145466331 is a deficient number, since it is larger than the sum of its proper divisors (550926888549).

1056145466331 is a wasteful number, since it uses less digits than its factorization.

1056145466331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81820 (or 81814 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1056145466331 in words is "one trillion, fifty-six billion, one hundred forty-five million, four hundred sixty-six thousand, three hundred thirty-one".