166384544904 has 320 divisors, whose sum is σ = 515599856640. Its totient is φ = 49946181120.

The previous prime is 166384544899. The next prime is 166384544917. The reversal of 166384544904 is 409445483661.

166384544904 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 8 + 4 + 544 + 90 + 4 = 666.

166384544904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166384544904² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17090022 + ... + 17099754.

It is an arithmetic number, because the mean of its divisors is an integer number (1611249552).

Almost surely, 2^166384544904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166384544904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257799928320).

166384544904 is an abundant number, since it is smaller than the sum of its proper divisors (349215311736).

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

166384544904 is a wasteful number, since it uses less digits than its factorization.

166384544904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 166384544904 in words is "one hundred sixty-six billion, three hundred eighty-four million, five hundred forty-four thousand, nine hundred four".