166422986329600 has 1440 divisors, whose sum is σ = 558818757167616. Its totient is φ = 47695852339200.

The previous prime is 166422986329577. The next prime is 166422986329619. The reversal of 166422986329600 is 6923689224661.

It is a super-2 number, since 2×166422986329600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46138890997 + ... + 46138894603.

Almost surely, 2^{166422986329600} is an apocalyptic number.

166422986329600 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 166422986329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279409378583808).

166422986329600 is an abundant number, since it is smaller than the sum of its proper divisors (392395770838016).

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

166422986329600 is a wasteful number, since it uses less digits than its factorization.

166422986329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 64.

The spelling of 166422986329600 in words is "one hundred sixty-six trillion, four hundred twenty-two billion, nine hundred eighty-six million, three hundred twenty-nine thousand, six hundred".