10292919394564 has 9 divisors (see below), whose sum is σ = 18012620169397. Its totient is φ = 5146456489024.

The previous prime is 10292919394543. The next prime is 10292919394579. The reversal of 10292919394564 is 46549391929201.

The square root of 10292919394564 is 3208258.

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., 4257446236164 + 6035473158400 = 2063358^2 + 2456720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10292919394496 and 10292919394505.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5614452 + ... + 7218580.

Almost surely, 2^{10292919394564} is an apocalyptic number.

10292919394564 is the 3208258-th square number.

It is an amenable number.

10292919394564 is a deficient number, since it is larger than the sum of its proper divisors (7719700774833).

10292919394564 is an frugal number, since it uses more digits than its factorization.

10292919394564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208262 (or 1604131 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 64.

Multiplying 10292919394564 by its sum of digits (64), we get a square (658746841252096 = 25666064²).

The spelling of 10292919394564 in words is "ten trillion, two hundred ninety-two billion, nine hundred nineteen million, three hundred ninety-four thousand, five hundred sixty-four".