13768637001 has 16 divisors (see below), whose sum is σ = 20986838400. Its totient is φ = 7865520768.

The previous prime is 13768636963. The next prime is 13768637017. The reversal of 13768637001 is 10073686731.

13768637001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13768637001 - 2⁹ = 13768636489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13768637801) by changing a digit.

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, 18786 + ... + 167003.

It is an arithmetic number, because the mean of its divisors is an integer number (1311677400).

Almost surely, 2^13768637001 is an apocalyptic number.

It is an amenable number.

13768637001 is a deficient number, since it is larger than the sum of its proper divisors (7218201399).

13768637001 is a wasteful number, since it uses less digits than its factorization.

13768637001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189328.

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 13768637001 in words is "thirteen billion, seven hundred sixty-eight million, six hundred thirty-seven thousand, one".