22205171240448 has 320 divisors, whose sum is σ = 68270329847808. Its totient is φ = 6282125107200.

The previous prime is 22205171240431. The next prime is 22205171240467. The reversal of 22205171240448 is 84404217150222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4149720973 + ... + 4149726323.

Almost surely, 2^{22205171240448} is an apocalyptic number.

22205171240448 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 22205171240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34135164923904).

22205171240448 is an abundant number, since it is smaller than the sum of its proper divisors (46065158607360).

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

22205171240448 is a wasteful number, since it uses less digits than its factorization.

22205171240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 22205171240448 in words is "twenty-two trillion, two hundred five billion, one hundred seventy-one million, two hundred forty thousand, four hundred forty-eight".