166562458841772 has 144 divisors (see below), whose sum is σ = 488007996682752. Its totient is φ = 46914159156480.

The previous prime is 166562458841767. The next prime is 166562458841789. The reversal of 166562458841772 is 277148854265661.

166562458841772 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 6 + 24 + 588 + 4 + 17 + 7 + 2 = 666.

166562458841772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166562458841772.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174633408 + ... + 175584600.

It is an arithmetic number, because the mean of its divisors is an integer number (3388944421408).

Almost surely, 2^{166562458841772} is an apocalyptic number.

166562458841772 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 166562458841772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244003998341376).

166562458841772 is an abundant number, since it is smaller than the sum of its proper divisors (321445537840980).

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

166562458841772 is a wasteful number, since it uses less digits than its factorization.

166562458841772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961068 (or 961063 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 166562458841772 in words is "one hundred sixty-six trillion, five hundred sixty-two billion, four hundred fifty-eight million, eight hundred forty-one thousand, seven hundred seventy-two".