17161240992 has 144 divisors (see below), whose sum is σ = 52593613632. Its totient is φ = 4885386240.

The previous prime is 17161240991. The next prime is 17161241003. The reversal of 17161240992 is 29904216171.

It is a super-2 number, since 2×17161240992² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (17161240991) 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 23 ways as a sum of consecutive naturals, for example, 1315333 + ... + 1328315.

It is an arithmetic number, because the mean of its divisors is an integer number (365233428).

Almost surely, 2^17161240992 is an apocalyptic number.

17161240992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17161240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26296806816).

17161240992 is an abundant number, since it is smaller than the sum of its proper divisors (35432372640).

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

17161240992 is a wasteful number, since it uses less digits than its factorization.

17161240992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13291 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 17161240992 in words is "seventeen billion, one hundred sixty-one million, two hundred forty thousand, nine hundred ninety-two".