10319243920164 has 81 divisors (see below), whose sum is σ = 26707630197339. Its totient is φ = 3359483996400.

The previous prime is 10319243920157. The next prime is 10319243920319. The reversal of 10319243920164 is 46102934291301.

The square root of 10319243920164 is 3212358.

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

10319243920164 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 9 + 2 + 439 + 201 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 828782139 + ... + 828794589.

Almost surely, 2^{10319243920164} is an apocalyptic number.

10319243920164 is the 3212358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10319243920164

10319243920164 is an abundant number, since it is smaller than the sum of its proper divisors (16388386277175).

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

10319243920164 is an frugal number, since it uses more digits than its factorization.

10319243920164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24998 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10319243920164 in words is "ten trillion, three hundred nineteen billion, two hundred forty-three million, nine hundred twenty thousand, one hundred sixty-four".