166153190112 has 1344 divisors, whose sum is σ = 653008075776. Its totient is φ = 40400363520.

The previous prime is 166153190057. The next prime is 166153190113. The reversal of 166153190112 is 211091351661.

166153190112 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 531 + 9 + 0 + 112 = 666.

It is a super-3 number, since 3×166153190112³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166153190113) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2001845623 + ... + 2001845705.

It is an arithmetic number, because the mean of its divisors is an integer number (485869104).

Almost surely, 2^166153190112 is an apocalyptic number.

166153190112 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 166153190112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326504037888).

166153190112 is an abundant number, since it is smaller than the sum of its proper divisors (486854885664).

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

166153190112 is a wasteful number, since it uses less digits than its factorization.

166153190112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 166153190112 in words is "one hundred sixty-six billion, one hundred fifty-three million, one hundred ninety thousand, one hundred twelve".