1416920164 has 81 divisors (see below), whose sum is σ = 2871400441. Its totient is φ = 611306080.

The previous prime is 1416920081. The next prime is 1416920173. The reversal of 1416920164 is 4610296141.

It is a happy number.

The square root of 1416920164 is 37642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 742998564 + 673921600 = 27258^2 + 25960^2 .

It is a super-2 number, since 2×1416920164² = 4015325502299573792, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24015567 + ... + 24015625.

Almost surely, 2^1416920164 is an apocalyptic number.

1416920164 is the 37642-nd square number.

It is an amenable number.

1416920164 is an abundant number, since it is smaller than the sum of its proper divisors (1454480277).

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

1416920164 is a wasteful number, since it uses less digits than its factorization.

1416920164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 1416920164 is about 1123.1776690166.

The spelling of 1416920164 in words is "one billion, four hundred sixteen million, nine hundred twenty thousand, one hundred sixty-four".