334971990976 has 112 divisors (see below), whose sum is σ = 784678420480. Its totient is φ = 138839132160.

The previous prime is 334971990967. The next prime is 334971990979. The reversal of 334971990976 is 679099179433.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×334971990976² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334971990979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24338785 + ... + 24352543.

Almost surely, 2^334971990976 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 334971990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392339210240).

334971990976 is an abundant number, since it is smaller than the sum of its proper divisors (449706429504).

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

334971990976 is a wasteful number, since it uses less digits than its factorization.

334971990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15562 (or 15552 counting only the distinct ones).

The product of its (nonzero) digits is 69441624, while the sum is 67.

The spelling of 334971990976 in words is "three hundred thirty-four billion, nine hundred seventy-one million, nine hundred ninety thousand, nine hundred seventy-six".