166578848352 has 1152 divisors, whose sum is σ = 634023936000. Its totient is φ = 41927694336.

The previous prime is 166578848309. The next prime is 166578848389. The reversal of 166578848352 is 253848875661.

166578848352 is a `hidden beast` number, since 1 + 6 + 6 + 578 + 8 + 4 + 8 + 3 + 52 = 666.

It is a super-2 number, since 2×166578848352² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (77414400) is a multiple of the sum of its prime factors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 166578848352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1117978774 + ... + 1117978922.

It is an arithmetic number, because the mean of its divisors is an integer number (550368000).

Almost surely, 2^166578848352 is an apocalyptic number.

166578848352 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 166578848352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968000).

166578848352 is an abundant number, since it is smaller than the sum of its proper divisors (467445087648).

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

166578848352 is a wasteful number, since it uses less digits than its factorization.

166578848352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 166578848352 in words is "one hundred sixty-six billion, five hundred seventy-eight million, eight hundred forty-eight thousand, three hundred fifty-two".