13352408957952 has 792 divisors, whose sum is σ = 44009815090176. Its totient is φ = 3883308023808.

The previous prime is 13352408957891. The next prime is 13352408957989. The reversal of 13352408957952 is 25975980425331.

13352408957952 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 2 + 4 + 0 + 8 + 9 + 579 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13352408957952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2658251313 + ... + 2658256335.

Almost surely, 2^{13352408957952} is an apocalyptic number.

13352408957952 is a gapful number since it is divisible by the number (12) 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 13352408957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22004907545088).

13352408957952 is an abundant number, since it is smaller than the sum of its proper divisors (30657406132224).

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

13352408957952 is a wasteful number, since it uses less digits than its factorization.

13352408957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 13352408957952 in words is "thirteen trillion, three hundred fifty-two billion, four hundred eight million, nine hundred fifty-seven thousand, nine hundred fifty-two".