166498467840 has 952 divisors, whose sum is σ = 649830095208. Its totient is φ = 40768634880.

The previous prime is 166498467803. The next prime is 166498467841. The reversal of 166498467840 is 48764894661.

166498467840 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 98 + 467 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5780865024 + 160717602816 = 76032^2 + 400896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166498467841) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4060938220 + ... + 4060938260.

Almost surely, 2^166498467840 is an apocalyptic number.

166498467840 is a gapful number since it is divisible by the number (10) 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 166498467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324915047604).

166498467840 is an abundant number, since it is smaller than the sum of its proper divisors (483331627368).

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

166498467840 is an frugal number, since it uses more digits than its factorization.

166498467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 166498467840 in words is "one hundred sixty-six billion, four hundred ninety-eight million, four hundred sixty-seven thousand, eight hundred forty".