335094308820 has 144 divisors (see below), whose sum is σ = 1024878975120. Its totient is φ = 88619010048.

The previous prime is 335094308789. The next prime is 335094308833. The reversal of 335094308820 is 28803490533.

335094308820 is a `hidden beast` number, since 3 + 3 + 509 + 43 + 0 + 88 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42079957956 + 293014350864 = 205134^2 + 541308^2 .

It is a super-2 number, since 2×335094308820² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27341814 + ... + 27354066.

It is an arithmetic number, because the mean of its divisors is an integer number (7117215105).

Almost surely, 2^335094308820 is an apocalyptic number.

335094308820 is a gapful number since it is divisible by the number (30) 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 335094308820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512439487560).

335094308820 is an abundant number, since it is smaller than the sum of its proper divisors (689784666300).

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

335094308820 is a wasteful number, since it uses less digits than its factorization.

335094308820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13514 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 335094308820 in words is "three hundred thirty-five billion, ninety-four million, three hundred eight thousand, eight hundred twenty".