13398533292816 has 640 divisors, whose sum is σ = 45522600652800. Its totient is φ = 3694224568320.

The previous prime is 13398533292751. The next prime is 13398533292817. The reversal of 13398533292816 is 61829233589331.

It is a happy number.

13398533292816 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 8 + 533 + 2 + 92 + 8 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13398533292817) 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 127 ways as a sum of consecutive naturals, for example, 3741560146 + ... + 3741563726.

It is an arithmetic number, because the mean of its divisors is an integer number (71129063520).

Almost surely, 2^{13398533292816} is an apocalyptic number.

13398533292816 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 13398533292816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22761300326400).

13398533292816 is an abundant number, since it is smaller than the sum of its proper divisors (32124067359984).

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

13398533292816 is a wasteful number, since it uses less digits than its factorization.

13398533292816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4032 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 13398533292816 in words is "thirteen trillion, three hundred ninety-eight billion, five hundred thirty-three million, two hundred ninety-two thousand, eight hundred sixteen".