13705445376 has 256 divisors, whose sum is σ = 46430236800. Its totient is φ = 3914072064.

The previous prime is 13705445323. The next prime is 13705445399. The reversal of 13705445376 is 67354450731.

13705445376 is a `hidden beast` number, since 1 + 3 + 70 + 5 + 44 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6192046 + ... + 6194258.

Almost surely, 2^13705445376 is an apocalyptic number.

13705445376 is a gapful number since it is divisible by the number (16) 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 13705445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215118400).

13705445376 is an abundant number, since it is smaller than the sum of its proper divisors (32724791424).

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

13705445376 is an frugal number, since it uses more digits than its factorization.

13705445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 13705445376 in words is "thirteen billion, seven hundred five million, four hundred forty-five thousand, three hundred seventy-six".