334396166544 has 120 divisors (see below), whose sum is σ = 1021211272224. Its totient is φ = 101303424000.

The previous prime is 334396166539. The next prime is 334396166569. The reversal of 334396166544 is 445661693433.

334396166544 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 96 + 1 + 6 + 6 + 544 = 666.

It is a super-2 number, since 2×334396166544² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5929359 + ... + 5985489.

Almost surely, 2^334396166544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334396166544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510605636112).

334396166544 is an abundant number, since it is smaller than the sum of its proper divisors (686815105680).

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

334396166544 is a wasteful number, since it uses less digits than its factorization.

334396166544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59917 (or 59908 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 334396166544 in words is "three hundred thirty-four billion, three hundred ninety-six million, one hundred sixty-six thousand, five hundred forty-four".