63111233211136 has 144 divisors (see below), whose sum is σ = 145536944561568. Its totient is φ = 26994887884800.

The previous prime is 63111233211113. The next prime is 63111233211163.

63111233211136 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290618116 + ... + 290835196.

It is an arithmetic number, because the mean of its divisors is an integer number (1010673226122).

Almost surely, 2^{63111233211136} 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 63111233211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72768472280784).

63111233211136 is an abundant number, since it is smaller than the sum of its proper divisors (82425711350432).

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

63111233211136 is a wasteful number, since it uses less digits than its factorization.

63111233211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223198 (or 223184 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

It can be divided in two parts, 6311123 and 3211136, that added together give a palindrome (9522259).

The spelling of 63111233211136 in words is "sixty-three trillion, one hundred eleven billion, two hundred thirty-three million, two hundred eleven thousand, one hundred thirty-six".