22064248241280 has 1536 divisors, whose sum is σ = 90692595302400. Its totient is φ = 4838975078400.

The previous prime is 22064248241263. The next prime is 22064248241281. The reversal of 22064248241280 is 8214284246022.

22064248241280 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 42 + 482 + 4 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22064248241281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23750535856 + ... + 23750536784.

It is an arithmetic number, because the mean of its divisors is an integer number (59044658400).

Almost surely, 2^{22064248241280} is an apocalyptic number.

22064248241280 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 22064248241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45346297651200).

22064248241280 is an abundant number, since it is smaller than the sum of its proper divisors (68628347061120).

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

22064248241280 is a wasteful number, since it uses less digits than its factorization.

22064248241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 22064248241280 in words is "twenty-two trillion, sixty-four billion, two hundred forty-eight million, two hundred forty-one thousand, two hundred eighty".