166787428179456 has 240 divisors, whose sum is σ = 550195653911904. Its totient is φ = 47647473795072.

The previous prime is 166787428179419. The next prime is 166787428179457. The reversal of 166787428179456 is 654971824787661.

166787428179456 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 8 + 74 + 28 + 1 + 79 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166787428179457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255690136 + ... + 256341608.

Almost surely, 2^{166787428179456} is an apocalyptic number.

166787428179456 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 166787428179456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275097826955952).

166787428179456 is an abundant number, since it is smaller than the sum of its proper divisors (383408225732448).

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

166787428179456 is an equidigital number, since it uses as much as digits as its factorization.

166787428179456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659441 (or 659422 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 166787428179456 in words is "one hundred sixty-six trillion, seven hundred eighty-seven billion, four hundred twenty-eight million, one hundred seventy-nine thousand, four hundred fifty-six".