166506452157792 has 96 divisors (see below), whose sum is σ = 441098391333600. Its totient is φ = 54991828205568.

The previous prime is 166506452157779. The next prime is 166506452157839. The reversal of 166506452157792 is 297751254605661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×166506452157792³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623698834 + ... + 623965742.

It is an arithmetic number, because the mean of its divisors is an integer number (4594774909725).

Almost surely, 2^{166506452157792} is an apocalyptic number.

166506452157792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166506452157792 is an abundant number, since it is smaller than the sum of its proper divisors (274591939175808).

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

166506452157792 is a wasteful number, since it uses less digits than its factorization.

166506452157792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326648 (or 326640 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 66.

The spelling of 166506452157792 in words is "one hundred sixty-six trillion, five hundred six billion, four hundred fifty-two million, one hundred fifty-seven thousand, seven hundred ninety-two".