12626227074048 has 528 divisors, whose sum is σ = 39780288100224. Its totient is φ = 3549673881600.

The previous prime is 12626227074017. The next prime is 12626227074059. The reversal of 12626227074048 is 84047072262621.

It is a super-3 number, since 3×12626227074048³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (51) 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538953290 + ... + 2538958262.

Almost surely, 2^{12626227074048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12626227074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890144050112).

12626227074048 is an abundant number, since it is smaller than the sum of its proper divisors (27154061026176).

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

12626227074048 is a wasteful number, since it uses less digits than its factorization.

12626227074048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 12626227074048 in words is "twelve trillion, six hundred twenty-six billion, two hundred twenty-seven million, seventy-four thousand, forty-eight".