166653631872 has 1536 divisors, whose sum is σ = 672200726400. Its totient is φ = 40131624960.

The previous prime is 166653631867. The next prime is 166653631873. The reversal of 166653631872 is 278136356661.

It is a super-2 number, since 2×166653631872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166653631873) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2282926428 + ... + 2282926500.

Almost surely, 2^166653631872 is an apocalyptic number.

166653631872 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 166653631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336100363200).

166653631872 is an abundant number, since it is smaller than the sum of its proper divisors (505547094528).

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

166653631872 is a wasteful number, since it uses less digits than its factorization.

166653631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 166653631872 in words is "one hundred sixty-six billion, six hundred fifty-three million, six hundred thirty-one thousand, eight hundred seventy-two".