1056142160164 has 72 divisors (see below), whose sum is σ = 2327024817600. Its totient is φ = 415714711104.

The previous prime is 1056142160149. The next prime is 1056142160167. The reversal of 1056142160164 is 4610612416501.

It is a super-2 number, since 2×1056142160164² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056142160167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534402 + ... + 1548505.

Almost surely, 2^{1056142160164} is an apocalyptic number.

1056142160164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1056142160164 is an abundant number, since it is smaller than the sum of its proper divisors (1270882657436).

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

1056142160164 is a wasteful number, since it uses less digits than its factorization.

1056142160164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083137 (or 2083128 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 1056142160164 its reverse (4610612416501), we get a palindrome (5666754576665).

The spelling of 1056142160164 in words is "one trillion, fifty-six billion, one hundred forty-two million, one hundred sixty thousand, one hundred sixty-four".