14146164564 has 144 divisors (see below), whose sum is σ = 40398845760. Its totient is φ = 3836367360.

The previous prime is 14146164551. The next prime is 14146164583. The reversal of 14146164564 is 46546164141.

It is a super-2 number, since 2×14146164564² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884067 + ... + 899925.

It is an arithmetic number, because the mean of its divisors is an integer number (280547540).

Almost surely, 2^14146164564 is an apocalyptic number.

14146164564 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 14146164564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20199422880).

14146164564 is an abundant number, since it is smaller than the sum of its proper divisors (26252681196).

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

14146164564 is a wasteful number, since it uses less digits than its factorization.

14146164564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15958 (or 15949 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 14146164564 in words is "fourteen billion, one hundred forty-six million, one hundred sixty-four thousand, five hundred sixty-four".