22141013104032 has 96 divisors (see below), whose sum is σ = 58576784261184. Its totient is φ = 7322413209600.

The previous prime is 22141013103971. The next prime is 22141013104039. The reversal of 22141013104032 is 23040131014122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22141013104032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22141013103993 and 22141013104011.

It is not an unprimeable number, because it can be changed into a prime (22141013104039) 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, 23353482 + ... + 24283062.

It is an arithmetic number, because the mean of its divisors is an integer number (610174836054).

Almost surely, 2^{22141013104032} 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 22141013104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29288392130592).

22141013104032 is an abundant number, since it is smaller than the sum of its proper divisors (36435771157152).

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

22141013104032 is a wasteful number, since it uses less digits than its factorization.

22141013104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931542 (or 931534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22141013104032 its reverse (23040131014122), we get a palindrome (45181144118154).

The spelling of 22141013104032 in words is "twenty-two trillion, one hundred forty-one billion, thirteen million, one hundred four thousand, thirty-two".