1292396090896 has 45 divisors (see below), whose sum is σ = 2558851105519. Its totient is φ = 632344561952.

The previous prime is 1292396090879. The next prime is 1292396090917. The reversal of 1292396090896 is 6980906932921.

It is a happy number.

The square root of 1292396090896 is 1136836.

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

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 213722145 + ... + 213728191.

Almost surely, 2^{1292396090896} is an apocalyptic number.

1292396090896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1292396090896 is the 1136836-th square number.

It is an amenable number.

1292396090896 is a deficient number, since it is larger than the sum of its proper divisors (1266455014623).

1292396090896 is an frugal number, since it uses more digits than its factorization.

1292396090896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 64.

Multiplying 1292396090896 by its sum of digits (64), we get a square (82713349817344 = 9094688²).

The spelling of 1292396090896 in words is "one trillion, two hundred ninety-two billion, three hundred ninety-six million, ninety thousand, eight hundred ninety-six".