16838150085 has 96 divisors (see below), whose sum is σ = 31004195040. Its totient is φ = 8440233984.

The previous prime is 16838150041. The next prime is 16838150099. The reversal of 16838150085 is 58005183861.

16838150085 is a `hidden beast` number, since 1 + 68 + 3 + 8 + 1 + 500 + 85 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1374481476 + 15463668609 = 37074^2 + 124353^2 .

It is not a de Polignac number, because 16838150085 - 2²³ = 16829761477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 16838150085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9474717 + ... + 9476493.

It is an arithmetic number, because the mean of its divisors is an integer number (322960365).

Almost surely, 2^16838150085 is an apocalyptic number.

16838150085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16838150085 is a deficient number, since it is larger than the sum of its proper divisors (14166044955).

16838150085 is a wasteful number, since it uses less digits than its factorization.

16838150085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 16838150085 in words is "sixteen billion, eight hundred thirty-eight million, one hundred fifty thousand, eighty-five".