1281795322896 has 315 divisors, whose sum is σ = 4097087600557. Its totient is φ = 388015246080.

The previous prime is 1281795322877. The next prime is 1281795322897. The reversal of 1281795322896 is 6982235971821.

The square root of 1281795322896 is 1132164.

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

1281795322896 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 7 + 9 + 532 + 2 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 533805584400 + 747989738496 = 730620^2 + 864864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1281795322897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1345010356 + ... + 1345011308.

Almost surely, 2^{1281795322896} is an apocalyptic number.

1281795322896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1281795322896 is the 1132164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1281795322896

1281795322896 is an abundant number, since it is smaller than the sum of its proper divisors (2815292277661).

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

1281795322896 is an frugal number, since it uses more digits than its factorization.

1281795322896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 969 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 1281795322896 in words is "one trillion, two hundred eighty-one billion, seven hundred ninety-five million, three hundred twenty-two thousand, eight hundred ninety-six".