12274315554816 has 520 divisors, whose sum is σ = 44370215825760. Its totient is φ = 3300645666816.

The previous prime is 12274315554773. The next prime is 12274315554821. The reversal of 12274315554816 is 61845551347221.

12274315554816 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 4 + 3 + 1 + 5 + 554 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 39325900 + ... + 39636788.

Almost surely, 2^{12274315554816} is an apocalyptic number.

12274315554816 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 12274315554816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185107912880).

12274315554816 is an abundant number, since it is smaller than the sum of its proper divisors (32095900270944).

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

12274315554816 is an equidigital number, since it uses as much as digits as its factorization.

12274315554816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310949 (or 310918 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 12274315554816 in words is "twelve trillion, two hundred seventy-four billion, three hundred fifteen million, five hundred fifty-four thousand, eight hundred sixteen".