11848493002896 has 405 divisors, whose sum is σ = 36988218221227. Its totient is φ = 3537993845760.

The previous prime is 11848493002867. The next prime is 11848493002933. The reversal of 11848493002896 is 69820039484811.

The square root of 11848493002896 is 3442164.

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

11848493002896 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 8 + 49 + 300 + 289 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 561150810000 + 11287342192896 = 749100^2 + 3359664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40438542526 + ... + 40438542818.

Almost surely, 2^{11848493002896} is an apocalyptic number.

11848493002896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11848493002896 is the 3442164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11848493002896

11848493002896 is an abundant number, since it is smaller than the sum of its proper divisors (25139725218331).

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

11848493002896 is an equidigital number, since it uses as much as digits as its factorization.

11848493002896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 11848493002896 in words is "eleven trillion, eight hundred forty-eight billion, four hundred ninety-three million, two thousand, eight hundred ninety-six".