13355003222496 has 288 divisors, whose sum is σ = 41292270059040. Its totient is φ = 4069821542400.

The previous prime is 13355003222461. The next prime is 13355003222507. The reversal of 13355003222496 is 69422230055331.

13355003222496 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 500 + 32 + 2 + 24 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13355003222496² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1249176511 + ... + 1249187201.

It is an arithmetic number, because the mean of its divisors is an integer number (143375937705).

Almost surely, 2^{13355003222496} is an apocalyptic number.

13355003222496 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 13355003222496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646135029520).

13355003222496 is an abundant number, since it is smaller than the sum of its proper divisors (27937266836544).

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

13355003222496 is a wasteful number, since it uses less digits than its factorization.

13355003222496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890 (or 13879 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 13355003222496 in words is "thirteen trillion, three hundred fifty-five billion, three million, two hundred twenty-two thousand, four hundred ninety-six".