166977368352 has 336 divisors, whose sum is σ = 519607259640. Its totient is φ = 52714561536.

The previous prime is 166977368321. The next prime is 166977368353. The reversal of 166977368352 is 253863779661.

166977368352 is a `hidden beast` number, since 166 + 97 + 7 + 36 + 8 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131133791376 + 35843576976 = 362124^2 + 189324^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 166977368352.

It is not an unprimeable number, because it can be changed into a prime (166977368353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35852808 + ... + 35857464.

Almost surely, 2^166977368352 is an apocalyptic number.

166977368352 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 166977368352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259803629820).

166977368352 is an abundant number, since it is smaller than the sum of its proper divisors (352629891288).

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

166977368352 is an equidigital number, since it uses as much as digits as its factorization.

166977368352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4744 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 166977368352 in words is "one hundred sixty-six billion, nine hundred seventy-seven million, three hundred sixty-eight thousand, three hundred fifty-two".