13362006254256 has 400 divisors, whose sum is σ = 43627059260928. Its totient is φ = 3913386048000.

The previous prime is 13362006254227. The next prime is 13362006254257. The reversal of 13362006254256 is 65245260026331.

13362006254256 is a `hidden beast` number, since 1 + 3 + 36 + 20 + 0 + 6 + 2 + 542 + 56 = 666.

It is a super-2 number, since 2×13362006254256² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13362006254257) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 50491081 + ... + 50755031.

Almost surely, 2^{13362006254256} is an apocalyptic number.

13362006254256 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 13362006254256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21813529630464).

13362006254256 is an abundant number, since it is smaller than the sum of its proper divisors (30265053006672).

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

13362006254256 is a wasteful number, since it uses less digits than its factorization.

13362006254256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264102 (or 264087 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 13362006254256 in words is "thirteen trillion, three hundred sixty-two billion, six million, two hundred fifty-four thousand, two hundred fifty-six".