166634496000 has 1680 divisors, whose sum is σ = 740333746152. Its totient is φ = 37158912000.

The previous prime is 166634495933. The next prime is 166634496053. The reversal of 166634496000 is 694436661.

It can be written as a sum of positive squares in 4 ways, for example, as 13672157184 + 152962338816 = 116928^2 + 391104^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4064255980 + ... + 4064256020.

Almost surely, 2^166634496000 is an apocalyptic number.

166634496000 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 166634496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370166873076).

166634496000 is an abundant number, since it is smaller than the sum of its proper divisors (573699250152).

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

166634496000 is an frugal number, since it uses more digits than its factorization.

166634496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 166634496000 in words is "one hundred sixty-six billion, six hundred thirty-four million, four hundred ninety-six thousand".