63324311342336 has 144 divisors (see below), whose sum is σ = 138045679083648. Its totient is φ = 28751781273600.

The previous prime is 63324311342317. The next prime is 63324311342339.

63324311342336 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63324311342336² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63324311342339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14401706090 + ... + 14401710486.

It is an arithmetic number, because the mean of its divisors is an integer number (958650549192).

Almost surely, 2^{63324311342336} 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 63324311342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69022839541824).

63324311342336 is an abundant number, since it is smaller than the sum of its proper divisors (74721367741312).

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

63324311342336 is a wasteful number, since it uses less digits than its factorization.

63324311342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8934 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 44.

It can be divided in two parts, 6332431 and 1342336, that added together give a palindrome (7674767).

The spelling of 63324311342336 in words is "sixty-three trillion, three hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, three hundred thirty-six".