166049274491100 has 2592 divisors, whose sum is σ = 750186697478400. Its totient is φ = 31307892940800.

The previous prime is 166049274491069. The next prime is 166049274491129. The reversal of 166049274491100 is 1194472940661.

It is a happy number.

166049274491100 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 4 + 92 + 7 + 449 + 1 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 10045927636 + ... + 10045944164.

It is an arithmetic number, because the mean of its divisors is an integer number (289423880200).

Almost surely, 2^{166049274491100} is an apocalyptic number.

166049274491100 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 166049274491100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375093348739200).

166049274491100 is an abundant number, since it is smaller than the sum of its proper divisors (584137422987300).

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

166049274491100 is a wasteful number, since it uses less digits than its factorization.

166049274491100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16655 (or 16629 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 166049274491100 in words is "one hundred sixty-six trillion, forty-nine billion, two hundred seventy-four million, four hundred ninety-one thousand, one hundred".