17660313342 has 192 divisors, whose sum is σ = 46359331200. Its totient is φ = 4852721664.

The previous prime is 17660313311. The next prime is 17660313361. The reversal of 17660313342 is 24331306671.

17660313342 is a `hidden beast` number, since 1 + 7 + 6 + 603 + 1 + 3 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 17660313297 and 17660313306.

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, 22158088 + ... + 22158884.

It is an arithmetic number, because the mean of its divisors is an integer number (241454850).

Almost surely, 2^17660313342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17660313342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23179665600).

17660313342 is an abundant number, since it is smaller than the sum of its proper divisors (28699017858).

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

17660313342 is a wasteful number, since it uses less digits than its factorization.

17660313342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 17660313342 in words is "seventeen billion, six hundred sixty million, three hundred thirteen thousand, three hundred forty-two".