166812817392 has 320 divisors, whose sum is σ = 552006336000. Its totient is φ = 47799631872.

The previous prime is 166812817387. The next prime is 166812817427. The reversal of 166812817392 is 293718218661.

166812817392 is a `hidden beast` number, since 166 + 8 + 12 + 81 + 7 + 392 = 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 63 ways as a sum of consecutive naturals, for example, 6282288 + ... + 6308784.

It is an arithmetic number, because the mean of its divisors is an integer number (1725019800).

Almost surely, 2^166812817392 is an apocalyptic number.

166812817392 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 166812817392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276003168000).

166812817392 is an abundant number, since it is smaller than the sum of its proper divisors (385193518608).

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

166812817392 is a wasteful number, since it uses less digits than its factorization.

166812817392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26605 (or 26593 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 166812817392 in words is "one hundred sixty-six billion, eight hundred twelve million, eight hundred seventeen thousand, three hundred ninety-two".