12349565271456 has 384 divisors, whose sum is σ = 40015677832704. Its totient is φ = 3254607544320.

The previous prime is 12349565271389. The next prime is 12349565271481. The reversal of 12349565271456 is 65417256594321.

It is a self number, because there is not a number n which added to its sum of digits gives 12349565271456.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192999340 + ... + 193063316.

It is an arithmetic number, because the mean of its divisors is an integer number (104207494356).

Almost surely, 2^{12349565271456} is an apocalyptic number.

12349565271456 is a gapful number since it is divisible by the number (16) 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 12349565271456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007838916352).

12349565271456 is an abundant number, since it is smaller than the sum of its proper divisors (27666112561248).

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

12349565271456 is a wasteful number, since it uses less digits than its factorization.

12349565271456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64352 (or 64344 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 60.

The spelling of 12349565271456 in words is "twelve trillion, three hundred forty-nine billion, five hundred sixty-five million, two hundred seventy-one thousand, four hundred fifty-six".