17123090985 has 504 divisors, whose sum is σ = 43895369664. Its totient is φ = 6222977280.

The previous prime is 17123090969. The next prime is 17123090987. The reversal of 17123090985 is 58909032171.

It is not a de Polignac number, because 17123090985 - 2⁴ = 17123090969 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 17123090985.

It is not an unprimeable number, because it can be changed into a prime (17123090987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 901215306 + ... + 901215324.

Almost surely, 2^17123090985 is an apocalyptic number.

17123090985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17123090985 is an abundant number, since it is smaller than the sum of its proper divisors (26772278679).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17123090985 is a wasteful number, since it uses less digits than its factorization.

17123090985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 17123090985 in words is "seventeen billion, one hundred twenty-three million, ninety thousand, nine hundred eighty-five".