10382794816 has 63 divisors (see below), whose sum is σ = 21129020607. Its totient is φ = 5062193280.

The previous prime is 10382794813. The next prime is 10382794819. The reversal of 10382794816 is 61849728301.

The square root of 10382794816 is 101896.

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

It is an interprime number because it is at equal distance from previous prime (10382794813) and next prime (10382794819).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10382794816.

It is not an unprimeable number, because it can be changed into a prime (10382794813) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38312761 + ... + 38313031.

Almost surely, 2^10382794816 is an apocalyptic number.

10382794816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10382794816 is the 101896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10382794816

10382794816 is an abundant number, since it is smaller than the sum of its proper divisors (10746225791).

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

10382794816 is an frugal number, since it uses more digits than its factorization.

10382794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 10382794816 by its sum of digits (49), we get a square (508756945984 = 713272²).

The spelling of 10382794816 in words is "ten billion, three hundred eighty-two million, seven hundred ninety-four thousand, eight hundred sixteen".