166785448896 has 252 divisors, whose sum is σ = 541566369240. Its totient is φ = 50539645440.

The previous prime is 166785448873. The next prime is 166785448913. The reversal of 166785448896 is 698844587661.

166785448896 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 8 + 54 + 488 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4600890 + ... + 4636998.

Almost surely, 2^166785448896 is an apocalyptic number.

166785448896 is a gapful number since it is divisible by the number (16) 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 166785448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270783184620).

166785448896 is an abundant number, since it is smaller than the sum of its proper divisors (374780920344).

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

166785448896 is an frugal number, since it uses more digits than its factorization.

166785448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36156 (or 36125 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 166785448896 in words is "one hundred sixty-six billion, seven hundred eighty-five million, four hundred forty-eight thousand, eight hundred ninety-six".