1296381915648 has 400 divisors, whose sum is σ = 4109362887960. Its totient is φ = 405478047744.

The previous prime is 1296381915607. The next prime is 1296381915671. The reversal of 1296381915648 is 8465191836921.

1296381915648 is a `hidden beast` number, since 1 + 2 + 9 + 63 + 8 + 1 + 9 + 1 + 564 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1295116833024 + 1265082624 = 1138032^2 + 35568^2 .

It is a super-3 number, since 3×1296381915648³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248870868 + ... + 248876076.

Almost surely, 2^{1296381915648} is an apocalyptic number.

1296381915648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296381915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054681443980).

1296381915648 is an abundant number, since it is smaller than the sum of its proper divisors (2812980972312).

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

1296381915648 is an equidigital number, since it uses as much as digits as its factorization.

1296381915648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5584 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 1296381915648 in words is "one trillion, two hundred ninety-six billion, three hundred eighty-one million, nine hundred fifteen thousand, six hundred forty-eight".