335809121088 has 224 divisors, whose sum is σ = 1051892110080. Its totient is φ = 92552232960.

The previous prime is 335809121057. The next prime is 335809121203. The reversal of 335809121088 is 880121908533.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×335809121088² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4870020 + ... + 4938492.

It is an arithmetic number, because the mean of its divisors is an integer number (4695946920).

Almost surely, 2^335809121088 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 335809121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525946055040).

335809121088 is an abundant number, since it is smaller than the sum of its proper divisors (716082988992).

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

335809121088 is a wasteful number, since it uses less digits than its factorization.

335809121088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68625 (or 68615 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 335809121088 in words is "three hundred thirty-five billion, eight hundred nine million, one hundred twenty-one thousand, eighty-eight".