335338621240896 has 1792 divisors, whose sum is σ = 1282968568627200. Its totient is φ = 83471837036544.

The previous prime is 335338621240853. The next prime is 335338621240933. The reversal of 335338621240896 is 698042126833533.

It is a happy number.

335338621240896 is a `hidden beast` number, since 3 + 3 + 5 + 3 + 3 + 8 + 6 + 212 + 408 + 9 + 6 = 666.

It is a super-2 number, since 2×335338621240896² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 234011598196 + ... + 234011599628.

It is an arithmetic number, because the mean of its divisors is an integer number (715942281600).

Almost surely, 2^{335338621240896} is an apocalyptic number.

335338621240896 is a gapful number since it is divisible by the number (36) 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 335338621240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641484284313600).

335338621240896 is an abundant number, since it is smaller than the sum of its proper divisors (947629947386304).

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

335338621240896 is a wasteful number, since it uses less digits than its factorization.

335338621240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 335338621240896 in words is "three hundred thirty-five trillion, three hundred thirty-eight billion, six hundred twenty-one million, two hundred forty thousand, eight hundred ninety-six".