13093226496 has 576 divisors, whose sum is σ = 46846800000. Its totient is φ = 3511517184.

The previous prime is 13093226473. The next prime is 13093226533. The reversal of 13093226496 is 69462239031.

13093226496 is a `hidden beast` number, since 130 + 9 + 3 + 2 + 26 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120121290 + ... + 120121398.

It is an arithmetic number, because the mean of its divisors is an integer number (81331250).

Almost surely, 2^13093226496 is an apocalyptic number.

13093226496 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 13093226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23423400000).

13093226496 is an abundant number, since it is smaller than the sum of its proper divisors (33753573504).

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

13093226496 is a wasteful number, since it uses less digits than its factorization.

13093226496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 13093226496 in words is "thirteen billion, ninety-three million, two hundred twenty-six thousand, four hundred ninety-six".