13745903652840 has 32 divisors (see below), whose sum is σ = 41237710958880. Its totient is φ = 3665574307392.

The previous prime is 13745903652827. The next prime is 13745903652851. The reversal of 13745903652840 is 4825630954731.

13745903652840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57274598434 + ... + 57274598673.

It is an arithmetic number, because the mean of its divisors is an integer number (1288678467465).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13745903652840 = 27491807305680, but 3⋅13745903652840 = 41237710958520 is not.

Almost surely, 2^{13745903652840} is an apocalyptic number.

13745903652840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13745903652840 is an abundant number, since it is smaller than the sum of its proper divisors (27491807306040).

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

13745903652840 is a wasteful number, since it uses less digits than its factorization.

13745903652840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114549197121 (or 114549197117 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 13745903652840 in words is "thirteen trillion, seven hundred forty-five billion, nine hundred three million, six hundred fifty-two thousand, eight hundred forty".