13868354178048 has 528 divisors, whose sum is σ = 41256955514880. Its totient is φ = 4134415564800.

The previous prime is 13868354178031. The next prime is 13868354178053. The reversal of 13868354178048 is 84087145386831.

It is a super-3 number, since 3×13868354178048³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13868354178048.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1409523913 + ... + 1409533751.

Almost surely, 2^{13868354178048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13868354178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20628477757440).

13868354178048 is an abundant number, since it is smaller than the sum of its proper divisors (27388601336832).

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

13868354178048 is a wasteful number, since it uses less digits than its factorization.

13868354178048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 13868354178048 in words is "thirteen trillion, eight hundred sixty-eight billion, three hundred fifty-four million, one hundred seventy-eight thousand, forty-eight".