166849333560 has 1152 divisors, whose sum is σ = 727089592320. Its totient is φ = 32774160384.

The previous prime is 166849333559. The next prime is 166849333571. The reversal of 166849333560 is 65333948661.

166849333560 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 49 + 3 + 33 + 560 = 666.

It is a super-2 number, since 2×166849333560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166849333497 and 166849333506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 495101712 + ... + 495102048.

It is an arithmetic number, because the mean of its divisors is an integer number (631154160).

Almost surely, 2^166849333560 is an apocalyptic number.

166849333560 is a gapful number since it is divisible by the number (10) 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 166849333560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363544796160).

166849333560 is an abundant number, since it is smaller than the sum of its proper divisors (560240258760).

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

166849333560 is a wasteful number, since it uses less digits than its factorization.

166849333560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 166849333560 in words is "one hundred sixty-six billion, eight hundred forty-nine million, three hundred thirty-three thousand, five hundred sixty".