13398051456 has 256 divisors, whose sum is σ = 40957488000. Its totient is φ = 4308885504.

The previous prime is 13398051449. The next prime is 13398051467. The reversal of 13398051456 is 65415089331.

13398051456 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 80 + 514 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13225606 + ... + 13226618.

Almost surely, 2^13398051456 is an apocalyptic number.

13398051456 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 13398051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478744000).

13398051456 is an abundant number, since it is smaller than the sum of its proper divisors (27559436544).

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

13398051456 is a wasteful number, since it uses less digits than its factorization.

13398051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13398051456 in words is "thirteen billion, three hundred ninety-eight million, fifty-one thousand, four hundred fifty-six".