13446869879808 has 264 divisors, whose sum is σ = 39789375208128. Its totient is φ = 4371908395008.

The previous prime is 13446869879777. The next prime is 13446869879851. The reversal of 13446869879808 is 80897896864431.

13446869879808 is a `hidden beast` number, since 1 + 3 + 4 + 468 + 6 + 9 + 8 + 79 + 80 + 8 = 666.

It is a super-2 number, since 2×13446869879808² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126860560 + ... + 126966512.

Almost surely, 2^{13446869879808} is an apocalyptic number.

13446869879808 is a gapful number since it is divisible by the number (18) 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 13446869879808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19894687604064).

13446869879808 is an abundant number, since it is smaller than the sum of its proper divisors (26342505328320).

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

13446869879808 is a wasteful number, since it uses less digits than its factorization.

13446869879808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106319 (or 106298 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 13446869879808 in words is "thirteen trillion, four hundred forty-six billion, eight hundred sixty-nine million, eight hundred seventy-nine thousand, eight hundred eight".