336162220800 has 432 divisors, whose sum is σ = 1270349859072. Its totient is φ = 76688179200.

The previous prime is 336162220769. The next prime is 336162220883. The reversal of 336162220800 is 8022261633.

It is a happy number.

It is a super-2 number, since 2×336162220800² (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 47 ways as a sum of consecutive naturals, for example, 78890670 + ... + 78894930.

Almost surely, 2^336162220800 is an apocalyptic number.

336162220800 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 336162220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635174929536).

336162220800 is an abundant number, since it is smaller than the sum of its proper divisors (934187638272).

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

336162220800 is a wasteful number, since it uses less digits than its factorization.

336162220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 336162220800 in words is "three hundred thirty-six billion, one hundred sixty-two million, two hundred twenty thousand, eight hundred".