13745377263352 has 64 divisors (see below), whose sum is σ = 29859191985600. Its totient is φ = 5809920721920.

The previous prime is 13745377263323. The next prime is 13745377263353. The reversal of 13745377263352 is 25336277354731.

It is a super-2 number, since 2×13745377263352² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745377263353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112690174 + ... + 112812082.

It is an arithmetic number, because the mean of its divisors is an integer number (466549874775).

Almost surely, 2^{13745377263352} is an apocalyptic number.

It is an amenable number.

13745377263352 is an abundant number, since it is smaller than the sum of its proper divisors (16113814722248).

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

13745377263352 is a wasteful number, since it uses less digits than its factorization.

13745377263352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149576 (or 149572 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 58.

The spelling of 13745377263352 in words is "thirteen trillion, seven hundred forty-five billion, three hundred seventy-seven million, two hundred sixty-three thousand, three hundred fifty-two".