13757867648 has 64 divisors (see below), whose sum is σ = 31516221120. Its totient is φ = 5859993600.

The previous prime is 13757867597. The next prime is 13757867689. The reversal of 13757867648 is 84676875731.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98948 + ... + 193148.

It is an arithmetic number, because the mean of its divisors is an integer number (492440955).

Almost surely, 2^13757867648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13757867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758110560).

13757867648 is an abundant number, since it is smaller than the sum of its proper divisors (17758353472).

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

13757867648 is an equidigital number, since it uses as much as digits as its factorization.

13757867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94385 (or 94373 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 62.

The spelling of 13757867648 in words is "thirteen billion, seven hundred fifty-seven million, eight hundred sixty-seven thousand, six hundred forty-eight".