1294279376896 has 189 divisors, whose sum is σ = 2873723918149. Its totient is φ = 582483968000.

The previous prime is 1294279376851. The next prime is 1294279376927. The reversal of 1294279376896 is 6986739724921.

The square root of 1294279376896 is 1137664.

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., 1243528298496 + 50751078400 = 1115136^2 + 225280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12814647246 + ... + 12814647346.

Almost surely, 2^{1294279376896} is an apocalyptic number.

1294279376896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1294279376896 is the 1137664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294279376896

1294279376896 is an abundant number, since it is smaller than the sum of its proper divisors (1579444541253).

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

1294279376896 is an frugal number, since it uses more digits than its factorization.

1294279376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 114 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 73.

The spelling of 1294279376896 in words is "one trillion, two hundred ninety-four billion, two hundred seventy-nine million, three hundred seventy-six thousand, eight hundred ninety-six".