13946746320 has 320 divisors, whose sum is σ = 54459014400. Its totient is φ = 3252234240.

The previous prime is 13946746313. The next prime is 13946746351. The reversal of 13946746320 is 2364764931.

13946746320 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 6 + 7 + 4 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520450 + ... + 546590.

It is an arithmetic number, because the mean of its divisors is an integer number (170184420).

Almost surely, 2^13946746320 is an apocalyptic number.

13946746320 is a gapful number since it is divisible by the number (10) 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 13946746320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27229507200).

13946746320 is an abundant number, since it is smaller than the sum of its proper divisors (40512268080).

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

13946746320 is a wasteful number, since it uses less digits than its factorization.

13946746320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26195 (or 26183 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13946746320 in words is "thirteen billion, nine hundred forty-six million, seven hundred forty-six thousand, three hundred twenty".