337138441272 has 256 divisors, whose sum is σ = 1045607616000. Its totient is φ = 100025985024.

The previous prime is 337138441261. The next prime is 337138441313. The reversal of 337138441272 is 272144831733.

337138441272 is a `hidden beast` number, since 3 + 3 + 7 + 138 + 441 + 2 + 72 = 666.

It is a super-2 number, since 2×337138441272² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 42763843 + ... + 42771725.

It is an arithmetic number, because the mean of its divisors is an integer number (4084404750).

Almost surely, 2^337138441272 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 337138441272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522803808000).

337138441272 is an abundant number, since it is smaller than the sum of its proper divisors (708469174728).

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

337138441272 is a wasteful number, since it uses less digits than its factorization.

337138441272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547 (or 8537 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 337138441272 in words is "three hundred thirty-seven billion, one hundred thirty-eight million, four hundred forty-one thousand, two hundred seventy-two".