22161914880 has 704 divisors, whose sum is σ = 85773557760. Its totient is φ = 4777574400.

The previous prime is 22161914857. The next prime is 22161914881. The reversal of 22161914880 is 8841916122.

It is a super-2 number, since 2×22161914880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22161914881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203320266 + ... + 203320374.

It is an arithmetic number, because the mean of its divisors is an integer number (121837440).

Almost surely, 2^22161914880 is an apocalyptic number.

22161914880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22161914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42886778880).

22161914880 is an abundant number, since it is smaller than the sum of its proper divisors (63611642880).

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

22161914880 is a wasteful number, since it uses less digits than its factorization.

22161914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 22161914880 in words is "twenty-two billion, one hundred sixty-one million, nine hundred fourteen thousand, eight hundred eighty".