13918126464 has 192 divisors, whose sum is σ = 44248089600. Its totient is φ = 4163927040.

The previous prime is 13918126447. The next prime is 13918126489. The reversal of 13918126464 is 46462181931.

13918126464 is a `hidden beast` number, since 1 + 3 + 9 + 181 + 2 + 6 + 464 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 994137 + ... + 1008039.

It is an arithmetic number, because the mean of its divisors is an integer number (230458800).

Almost surely, 2^13918126464 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 13918126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22124044800).

13918126464 is an abundant number, since it is smaller than the sum of its proper divisors (30329963136).

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

13918126464 is a wasteful number, since it uses less digits than its factorization.

13918126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14013 (or 13998 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 13918126464 in words is "thirteen billion, nine hundred eighteen million, one hundred twenty-six thousand, four hundred sixty-four".