166462261200 has 180 divisors, whose sum is σ = 583391067948. Its totient is φ = 43950336000.

The previous prime is 166462261171. The next prime is 166462261213. The reversal of 166462261200 is 2162264661.

166462261200 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 622 + 6 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38395618704 + 128066642496 = 195948^2 + 357864^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134692 + ... + 592508.

Almost surely, 2^166462261200 is an apocalyptic number.

166462261200 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 166462261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291695533974).

166462261200 is an abundant number, since it is smaller than the sum of its proper divisors (416928806748).

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

166462261200 is a wasteful number, since it uses less digits than its factorization.

166462261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457942 (or 457928 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 166462261200 in words is "one hundred sixty-six billion, four hundred sixty-two million, two hundred sixty-one thousand, two hundred".