633315222513336 has 192 divisors, whose sum is σ = 1767985089212160. Its totient is φ = 188884495641600.

The previous prime is 633315222513299. The next prime is 633315222513401.

It is a happy number.

633315222513336 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42260416 + ... + 55250096.

It is an arithmetic number, because the mean of its divisors is an integer number (9208255672980).

Almost surely, 2^{633315222513336} is an apocalyptic number.

633315222513336 is a gapful number since it is divisible by the number (66) 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 633315222513336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883992544606080).

633315222513336 is an abundant number, since it is smaller than the sum of its proper divisors (1134669866698824).

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

633315222513336 is a wasteful number, since it uses less digits than its factorization.

633315222513336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989978 (or 12989963 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 48.

The spelling of 633315222513336 in words is "six hundred thirty-three trillion, three hundred fifteen billion, two hundred twenty-two million, five hundred thirteen thousand, three hundred thirty-six".