1038137766687 has 48 divisors (see below), whose sum is σ = 1723961482048. Its totient is φ = 589692026880.

The previous prime is 1038137766671. The next prime is 1038137766689. The reversal of 1038137766687 is 7866677318301.

It is not a de Polignac number, because 1038137766687 - 2⁴ = 1038137766671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038137766689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16029723 + ... + 16094355.

Almost surely, 2^{1038137766687} is an apocalyptic number.

1038137766687 is a deficient number, since it is larger than the sum of its proper divisors (685823715361).

1038137766687 is a wasteful number, since it uses less digits than its factorization.

1038137766687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66160 (or 66157 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 1038137766687 in words is "one trillion, thirty-eight billion, one hundred thirty-seven million, seven hundred sixty-six thousand, six hundred eighty-seven".