335401123872 has 96 divisors (see below), whose sum is σ = 885327879744. Its totient is φ = 111178726400.

The previous prime is 335401123867. The next prime is 335401123919. The reversal of 335401123872 is 278321104533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×335401123872² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335401123872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63749722 + ... + 63754982.

It is an arithmetic number, because the mean of its divisors is an integer number (9222165414).

Almost surely, 2^335401123872 is an apocalyptic number.

335401123872 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 335401123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442663939872).

335401123872 is an abundant number, since it is smaller than the sum of its proper divisors (549926755872).

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

335401123872 is a wasteful number, since it uses less digits than its factorization.

335401123872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 335401123872 in words is "three hundred thirty-five billion, four hundred one million, one hundred twenty-three thousand, eight hundred seventy-two".