22288165130448 has 160 divisors (see below), whose sum is σ = 73130976817920. Its totient is φ = 6366622187520.

The previous prime is 22288165130443. The next prime is 22288165130489. The reversal of 22288165130448 is 84403156188222.

22288165130448 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 8 + 1 + 65 + 130 + 448 = 666.

It is a super-3 number, since 3×22288165130448³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22288165130394 and 22288165130403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22288165130443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12728136 + ... + 14372952.

It is an arithmetic number, because the mean of its divisors is an integer number (457068605112).

Almost surely, 2^{22288165130448} is an apocalyptic number.

22288165130448 is a gapful number since it is divisible by the number (28) 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 22288165130448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36565488408960).

22288165130448 is an abundant number, since it is smaller than the sum of its proper divisors (50842811687472).

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

22288165130448 is a wasteful number, since it uses less digits than its factorization.

22288165130448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649322 (or 1649310 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 22288165130448 in words is "twenty-two trillion, two hundred eighty-eight billion, one hundred sixty-five million, one hundred thirty thousand, four hundred forty-eight".