13741743456 has 144 divisors (see below), whose sum is σ = 45572436000. Its totient is φ = 3926184192.

The previous prime is 13741743397. The next prime is 13741743473. The reversal of 13741743456 is 65434714731.

13741743456 is a `hidden beast` number, since 137 + 4 + 174 + 345 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 29230 + ... + 168338.

It is an arithmetic number, because the mean of its divisors is an integer number (316475250).

Almost surely, 2^13741743456 is an apocalyptic number.

13741743456 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 13741743456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22786218000).

13741743456 is an abundant number, since it is smaller than the sum of its proper divisors (31830692544).

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

13741743456 is a wasteful number, since it uses less digits than its factorization.

13741743456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139146 (or 139121 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 13741743456 in words is "thirteen billion, seven hundred forty-one million, seven hundred forty-three thousand, four hundred fifty-six".