13402666368 has 192 divisors, whose sum is σ = 47468148000. Its totient is φ = 3534741504.

The previous prime is 13402666357. The next prime is 13402666411. The reversal of 13402666368 is 86366620431.

13402666368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13402666368² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 40908 + ... + 168756.

Almost surely, 2^13402666368 is an apocalyptic number.

13402666368 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 13402666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23734074000).

13402666368 is an abundant number, since it is smaller than the sum of its proper divisors (34065481632).

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

13402666368 is a wasteful number, since it uses less digits than its factorization.

13402666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127889 (or 127874 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 13402666368 in words is "thirteen billion, four hundred two million, six hundred sixty-six thousand, three hundred sixty-eight".