334133320042112 has 64 divisors (see below), whose sum is σ = 672570711960840. Its totient is φ = 165331525632000.

The previous prime is 334133320042009. The next prime is 334133320042121. The reversal of 334133320042112 is 211240023331433.

It can be written as a sum of positive squares in 4 ways, for example, as 258586210939456 + 75547109102656 = 16080616^2 + 8691784^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×334133320042112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160385438 + ... + 162455394.

Almost surely, 2^{334133320042112} is an apocalyptic number.

334133320042112 is a gapful number since it is divisible by the number (32) 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 334133320042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336285355980420).

334133320042112 is an abundant number, since it is smaller than the sum of its proper divisors (338437391918728).

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

334133320042112 is a wasteful number, since it uses less digits than its factorization.

334133320042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083069 (or 2083057 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 334133320042112 its reverse (211240023331433), we get a palindrome (545373343373545).

The spelling of 334133320042112 in words is "three hundred thirty-four trillion, one hundred thirty-three billion, three hundred twenty million, forty-two thousand, one hundred twelve".