337113923328 has 1728 divisors, whose sum is σ = 1367941865472. Its totient is φ = 80263249920.

The previous prime is 337113923303. The next prime is 337113923351. The reversal of 337113923328 is 823329311733.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×337113923328² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2983309000 + ... + 2983309112.

It is an arithmetic number, because the mean of its divisors is an integer number (791633024).

Almost surely, 2^337113923328 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 337113923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683970932736).

337113923328 is an abundant number, since it is smaller than the sum of its proper divisors (1030827942144).

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

337113923328 is a wasteful number, since it uses less digits than its factorization.

337113923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 337113923328 in words is "three hundred thirty-seven billion, one hundred thirteen million, nine hundred twenty-three thousand, three hundred twenty-eight".