166622508476928 has 2400 divisors, whose sum is σ = 632817437091840. Its totient is φ = 43599875235840.

The previous prime is 166622508476899. The next prime is 166622508476951. The reversal of 166622508476928 is 829674805226661.

It is a super-2 number, since 2×166622508476928² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 175947738151 + ... + 175947739097.

Almost surely, 2^{166622508476928} is an apocalyptic number.

166622508476928 is a gapful number since it is divisible by the number (18) 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 166622508476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316408718545920).

166622508476928 is an abundant number, since it is smaller than the sum of its proper divisors (466194928614912).

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

166622508476928 is an frugal number, since it uses more digits than its factorization.

166622508476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 166622508476928 in words is "one hundred sixty-six trillion, six hundred twenty-two billion, five hundred eight million, four hundred seventy-six thousand, nine hundred twenty-eight".