10167138639 has 48 divisors (see below), whose sum is σ = 17027112960. Its totient is φ = 5726116800.

The previous prime is 10167138629. The next prime is 10167138671. The reversal of 10167138639 is 93683176101.

10167138639 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 7 + 1 + 3 + 8 + 639 = 666.

It is not a de Polignac number, because 10167138639 - 2¹⁹ = 10166614351 is a prime.

It is a super-3 number, since 3×10167138639³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10167138594 and 10167138603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10167138629) 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, 1440882 + ... + 1447920.

It is an arithmetic number, because the mean of its divisors is an integer number (354731520).

Almost surely, 2^10167138639 is an apocalyptic number.

10167138639 is a deficient number, since it is larger than the sum of its proper divisors (6859974321).

10167138639 is a wasteful number, since it uses less digits than its factorization.

10167138639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10167138639 in words is "ten billion, one hundred sixty-seven million, one hundred thirty-eight thousand, six hundred thirty-nine".