2321144411232 has 576 divisors, whose sum is σ = 6780961946304. Its totient is φ = 694420439040.

The previous prime is 2321144411189. The next prime is 2321144411273.

It is a happy number.

2321144411232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2321144411232² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2321144411232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12824002182 + ... + 12824002362.

It is an arithmetic number, because the mean of its divisors is an integer number (11772503379).

Almost surely, 2^{2321144411232} 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 2321144411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390480973152).

2321144411232 is an abundant number, since it is smaller than the sum of its proper divisors (4459817535072).

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

2321144411232 is a wasteful number, since it uses less digits than its factorization.

2321144411232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 452 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 2321144411232 in words is "two trillion, three hundred twenty-one billion, one hundred forty-four million, four hundred eleven thousand, two hundred thirty-two".