13496966930496 has 1344 divisors, whose sum is σ = 46485682569216. Its totient is φ = 3433483468800.

The previous prime is 13496966930429. The next prime is 13496966930521. The reversal of 13496966930496 is 69403966969431.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21056110336 + ... + 21056110976.

Almost surely, 2^{13496966930496} is an apocalyptic number.

13496966930496 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 13496966930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242841284608).

13496966930496 is an abundant number, since it is smaller than the sum of its proper divisors (32988715638720).

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

13496966930496 is a wasteful number, since it uses less digits than its factorization.

13496966930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1224440064, while the sum is 75.

The spelling of 13496966930496 in words is "thirteen trillion, four hundred ninety-six billion, nine hundred sixty-six million, nine hundred thirty thousand, four hundred ninety-six".