14746318164 has 192 divisors, whose sum is σ = 40836096000. Its totient is φ = 4591762560.

The previous prime is 14746318159. The next prime is 14746318189. The reversal of 14746318164 is 46181364741.

14746318164 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 631 + 8 + 1 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35026674 + ... + 35027094.

It is an arithmetic number, because the mean of its divisors is an integer number (212688000).

Almost surely, 2^14746318164 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 14746318164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418048000).

14746318164 is an abundant number, since it is smaller than the sum of its proper divisors (26089777836).

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

14746318164 is a wasteful number, since it uses less digits than its factorization.

14746318164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 14746318164 in words is "fourteen billion, seven hundred forty-six million, three hundred eighteen thousand, one hundred sixty-four".