166416187392 has 960 divisors, whose sum is σ = 626893130160. Its totient is φ = 43061870592.

The previous prime is 166416187369. The next prime is 166416187411. The reversal of 166416187392 is 293781614661.

166416187392 is a `hidden beast` number, since 1 + 6 + 64 + 16 + 187 + 392 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2612736) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3139928038 + ... + 3139928090.

Almost surely, 2^166416187392 is an apocalyptic number.

166416187392 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 166416187392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313446565080).

166416187392 is an abundant number, since it is smaller than the sum of its proper divisors (460476942768).

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

166416187392 is an frugal number, since it uses more digits than its factorization.

166416187392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 78 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 166416187392 in words is "one hundred sixty-six billion, four hundred sixteen million, one hundred eighty-seven thousand, three hundred ninety-two".