164271332416 has 63 divisors (see below), whose sum is σ = 337797438069. Its totient is φ = 79258007808.

The previous prime is 164271332399. The next prime is 164271332437. The reversal of 164271332416 is 614233172461.

The square root of 164271332416 is 405304.

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., 86139902016 + 78131430400 = 293496^2 + 279520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94029655 + ... + 94031401.

Almost surely, 2^164271332416 is an apocalyptic number.

164271332416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164271332416 is the 405304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164271332416

164271332416 is an abundant number, since it is smaller than the sum of its proper divisors (173526105653).

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

164271332416 is an frugal number, since it uses more digits than its factorization.

164271332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 1778 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The spelling of 164271332416 in words is "one hundred sixty-four billion, two hundred seventy-one million, three hundred thirty-two thousand, four hundred sixteen".