1322325205776 has 135 divisors (see below), whose sum is σ = 3751203448629. Its totient is φ = 434836861056.

The previous prime is 1322325205763. The next prime is 1322325205787. The reversal of 1322325205776 is 6775025232231.

It is a happy number.

The square root of 1322325205776 is 1149924.

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

1322325205776 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 2 + 520 + 57 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53944707600 + 1268380498176 = 232260^2 + 1126224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1090127346 + ... + 1090128558.

Almost surely, 2^{1322325205776} is an apocalyptic number.

1322325205776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1322325205776 is the 1149924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322325205776

1322325205776 is an abundant number, since it is smaller than the sum of its proper divisors (2428878242853).

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

1322325205776 is an frugal number, since it uses more digits than its factorization.

1322325205776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 1322325205776 in words is "one trillion, three hundred twenty-two billion, three hundred twenty-five million, two hundred five thousand, seven hundred seventy-six".