22145101012332 has 288 divisors, whose sum is σ = 62290380472320. Its totient is φ = 6604803918720.

The previous prime is 22145101012247. The next prime is 22145101012339. The reversal of 22145101012332 is 23321010154122.

It is a happy number.

22145101012332 is a `hidden beast` number, since 2 + 2 + 14 + 510 + 10 + 123 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22145101012296 and 22145101012305.

It is not an unprimeable number, because it can be changed into a prime (22145101012339) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1191676713 + ... + 1191695295.

Almost surely, 2^{22145101012332} 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 22145101012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31145190236160).

22145101012332 is an abundant number, since it is smaller than the sum of its proper divisors (40145279459988).

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

22145101012332 is a wasteful number, since it uses less digits than its factorization.

22145101012332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19993 (or 19988 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 22145101012332 its reverse (23321010154122), we get a palindrome (45466111166454).

The spelling of 22145101012332 in words is "twenty-two trillion, one hundred forty-five billion, one hundred one million, twelve thousand, three hundred thirty-two".