12349040110848 has 648 divisors, whose sum is σ = 42852484985856. Its totient is φ = 3406659379200.

The previous prime is 12349040110811. The next prime is 12349040110853. The reversal of 12349040110848 is 84801104094321.

12349040110848 is a `hidden beast` number, since 1 + 2 + 3 + 490 + 4 + 0 + 110 + 8 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1620392478 + ... + 1620400098.

Almost surely, 2^{12349040110848} is an apocalyptic number.

12349040110848 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 12349040110848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21426242492928).

12349040110848 is an abundant number, since it is smaller than the sum of its proper divisors (30503444875008).

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

12349040110848 is a wasteful number, since it uses less digits than its factorization.

12349040110848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12349040110848 in words is "twelve trillion, three hundred forty-nine billion, forty million, one hundred ten thousand, eight hundred forty-eight".