22141832832 has 384 divisors, whose sum is σ = 78455070720. Its totient is φ = 5854464000.

The previous prime is 22141832831. The next prime is 22141832851. The reversal of 22141832832 is 23823814122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22141832832² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (22141832831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5747707 + ... + 5751557.

It is an arithmetic number, because the mean of its divisors is an integer number (204310080).

Almost surely, 2^22141832832 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 22141832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39227535360).

22141832832 is an abundant number, since it is smaller than the sum of its proper divisors (56313237888).

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

22141832832 is a wasteful number, since it uses less digits than its factorization.

22141832832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3917 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 22141832832 in words is "twenty-two billion, one hundred forty-one million, eight hundred thirty-two thousand, eight hundred thirty-two".