13279685642496 has 864 divisors, whose sum is σ = 48747630713600. Its totient is φ = 3454162403328.

The previous prime is 13279685642477. The next prime is 13279685642543. The reversal of 13279685642496 is 69424658697231.

13279685642496 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 9 + 68 + 56 + 424 + 96 = 666.

It is a super-2 number, since 2×13279685642496² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 749959275 + ... + 749976981.

Almost surely, 2^{13279685642496} is an apocalyptic number.

13279685642496 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 13279685642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373815356800).

13279685642496 is an abundant number, since it is smaller than the sum of its proper divisors (35467945071104).

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

13279685642496 is a wasteful number, since it uses less digits than its factorization.

13279685642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17836 (or 17805 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 13279685642496 in words is "thirteen trillion, two hundred seventy-nine billion, six hundred eighty-five million, six hundred forty-two thousand, four hundred ninety-six".