166106415025152 has 2200 divisors, whose sum is σ = 600084412403520. Its totient is φ = 45740437585920.

The previous prime is 166106415025129. The next prime is 166106415025193. The reversal of 166106415025152 is 251520514601661.

166106415025152 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 0 + 6 + 41 + 502 + 51 + 52 = 666.

It is a super-2 number, since 2×166106415025152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166106415025098 and 166106415025107.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 787234194327 + ... + 787234194537.

Almost surely, 2^{166106415025152} is an apocalyptic number.

166106415025152 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 166106415025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300042206201760).

166106415025152 is an abundant number, since it is smaller than the sum of its proper divisors (433977997378368).

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

166106415025152 is an frugal number, since it uses more digits than its factorization.

166106415025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 166106415025152 in words is "one hundred sixty-six trillion, one hundred six billion, four hundred fifteen million, twenty-five thousand, one hundred fifty-two".