166238667400 has 192 divisors, whose sum is σ = 421894403280. Its totient is φ = 60550656000.

The previous prime is 166238667323. The next prime is 166238667421. The reversal of 166238667400 is 4766832661.

It can be written as a sum of positive squares in 24 ways, for example, as 57848908324 + 108389759076 = 240518^2 + 329226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83243202 + ... + 83245198.

Almost surely, 2^166238667400 is an apocalyptic number.

166238667400 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 166238667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210947201640).

166238667400 is an abundant number, since it is smaller than the sum of its proper divisors (255655735880).

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

166238667400 is a wasteful number, since it uses less digits than its factorization.

166238667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 166238667400 in words is "one hundred sixty-six billion, two hundred thirty-eight million, six hundred sixty-seven thousand, four hundred".