336151726272 has 280 divisors, whose sum is σ = 1028640179952. Its totient is φ = 108474163200.

The previous prime is 336151726271. The next prime is 336151726357. The reversal of 336151726272 is 272627151633.

336151726272 is a `hidden beast` number, since 3 + 3 + 6 + 1 + 5 + 17 + 2 + 627 + 2 = 666.

It is a super-2 number, since 2×336151726272² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336151726271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27837228 + ... + 27849300.

Almost surely, 2^336151726272 is an apocalyptic number.

336151726272 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 336151726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514320089976).

336151726272 is an abundant number, since it is smaller than the sum of its proper divisors (692488453680).

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

336151726272 is a wasteful number, since it uses less digits than its factorization.

336151726272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12269 (or 12250 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 336151726272 in words is "three hundred thirty-six billion, one hundred fifty-one million, seven hundred twenty-six thousand, two hundred seventy-two".