13892642064 has 240 divisors, whose sum is σ = 46059147264. Its totient is φ = 3825273600.

The previous prime is 13892642003. The next prime is 13892642087. The reversal of 13892642064 is 46024629831.

13892642064 is a `hidden beast` number, since 1 + 389 + 2 + 64 + 206 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8842399 + ... + 8843969.

Almost surely, 2^13892642064 is an apocalyptic number.

13892642064 is a gapful number since it is divisible by the number (14) 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 13892642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029573632).

13892642064 is an abundant number, since it is smaller than the sum of its proper divisors (32166505200).

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

13892642064 is a wasteful number, since it uses less digits than its factorization.

13892642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13892642064 in words is "thirteen billion, eight hundred ninety-two million, six hundred forty-two thousand, sixty-four".