10838492667 has 24 divisors (see below), whose sum is σ = 16212740544. Its totient is φ = 6972570864.

The previous prime is 10838492659. The next prime is 10838492671. The reversal of 10838492667 is 76629483801.

10838492667 is a `hidden beast` number, since 10 + 83 + 8 + 492 + 6 + 67 = 666.

It is not a de Polignac number, because 10838492667 - 2³ = 10838492659 is a prime.

It is a super-2 number, since 2×10838492667² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10838492617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136593 + ... + 200834.

It is an arithmetic number, because the mean of its divisors is an integer number (675530856).

Almost surely, 2^10838492667 is an apocalyptic number.

10838492667 is a deficient number, since it is larger than the sum of its proper divisors (5374247877).

10838492667 is a wasteful number, since it uses less digits than its factorization.

10838492667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337559 (or 337556 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10838492667 in words is "ten billion, eight hundred thirty-eight million, four hundred ninety-two thousand, six hundred sixty-seven".