13746350823744 has 224 divisors, whose sum is σ = 46088470720512. Its totient is φ = 3511948032000.

The previous prime is 13746350823743. The next prime is 13746350823749. The reversal of 13746350823744 is 44732805364731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746350823743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6719592 + ... + 8523239.

Almost surely, 2^{13746350823744} is an apocalyptic number.

13746350823744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13746350823744 is an abundant number, since it is smaller than the sum of its proper divisors (32342119896768).

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

13746350823744 is a wasteful number, since it uses less digits than its factorization.

13746350823744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15242925 (or 15242915 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 13746350823744 in words is "thirteen trillion, seven hundred forty-six billion, three hundred fifty million, eight hundred twenty-three thousand, seven hundred forty-four".