13745346972 has 48 divisors (see below), whose sum is σ = 36769958400. Its totient is φ = 3914845632.

The previous prime is 13745346961. The next prime is 13745347037. The reversal of 13745346972 is 27964354731.

13745346972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231472 + ... + 284727.

It is an arithmetic number, because the mean of its divisors is an integer number (766040800).

Almost surely, 2^13745346972 is an apocalyptic number.

13745346972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13745346972 is an abundant number, since it is smaller than the sum of its proper divisors (23024611428).

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

13745346972 is a wasteful number, since it uses less digits than its factorization.

13745346972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516530 (or 516528 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The spelling of 13745346972 in words is "thirteen billion, seven hundred forty-five million, three hundred forty-six thousand, nine hundred seventy-two".