335682000000 has 672 divisors, whose sum is σ = 1279625417460. Its totient is φ = 84172800000.

The previous prime is 335681999993. The next prime is 335682000013. The reversal of 335682000000 is 286533.

It can be written as a sum of positive squares in 14 ways, for example, as 285745840704 + 49936159296 = 534552^2 + 223464^2 .

It is a super-2 number, since 2×335682000000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 305999452 + ... + 306000548.

Almost surely, 2^335682000000 is an apocalyptic number.

335682000000 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 335682000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639812708730).

335682000000 is an abundant number, since it is smaller than the sum of its proper divisors (943943417460).

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

335682000000 is an equidigital number, since it uses as much as digits as its factorization.

335682000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 335682000000 its reverse (286533), we get a palindrome (335682286533).

The spelling of 335682000000 in words is "three hundred thirty-five billion, six hundred eighty-two million", and thus it is an aban number.