166454511552 has 378 divisors, whose sum is σ = 589604446392. Its totient is φ = 44758683648.

The previous prime is 166454511539. The next prime is 166454511581. The reversal of 166454511552 is 255115454661.

166454511552 is a `hidden beast` number, since 1 + 6 + 6 + 45 + 4 + 51 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 166454511498 and 166454511507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8146533 + ... + 8166939.

Almost surely, 2^166454511552 is an apocalyptic number.

166454511552 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 166454511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294802223196).

166454511552 is an abundant number, since it is smaller than the sum of its proper divisors (423149934840).

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

166454511552 is a wasteful number, since it uses less digits than its factorization.

166454511552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20473 (or 20436 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The spelling of 166454511552 in words is "one hundred sixty-six billion, four hundred fifty-four million, five hundred eleven thousand, five hundred fifty-two".