164464313764 has 45 divisors (see below), whose sum is σ = 298822478955. Its totient is φ = 79202352600.

The previous prime is 164464313737. The next prime is 164464313777. The reversal of 164464313764 is 467313464461.

The square root of 164464313764 is 405542.

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

It is a super-3 number, since 3×164464313764³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 779451619 + ... + 779451829.

Almost surely, 2^164464313764 is an apocalyptic number.

164464313764 is the 405542-nd square number.

It is an amenable number.

164464313764 is a deficient number, since it is larger than the sum of its proper divisors (134358165191).

164464313764 is an frugal number, since it uses more digits than its factorization.

164464313764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 244 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 49.

Multiplying 164464313764 by its sum of digits (49), we get a square (8058751374436 = 2838794²).

The spelling of 164464313764 in words is "one hundred sixty-four billion, four hundred sixty-four million, three hundred thirteen thousand, seven hundred sixty-four".