166791333744 has 240 divisors, whose sum is σ = 539836876800. Its totient is φ = 47087654400.

The previous prime is 166791333721. The next prime is 166791333811. The reversal of 166791333744 is 447333197661.

166791333744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61796107 + ... + 61798805.

It is an arithmetic number, because the mean of its divisors is an integer number (2249320320).

Almost surely, 2^166791333744 is an apocalyptic number.

166791333744 is a gapful number since it is divisible by the number (14) 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 166791333744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269918438400).

166791333744 is an abundant number, since it is smaller than the sum of its proper divisors (373045543056).

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

166791333744 is a wasteful number, since it uses less digits than its factorization.

166791333744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3419 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 166791333744 in words is "one hundred sixty-six billion, seven hundred ninety-one million, three hundred thirty-three thousand, seven hundred forty-four".