22451064440640 has 672 divisors, whose sum is σ = 82194663997440. Its totient is φ = 5148425318400.

The previous prime is 22451064440579. The next prime is 22451064440663. The reversal of 22451064440640 is 4604446015422.

It is a junction number, because it is equal to n+sod(n) for n = 22451064440592 and 22451064440601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2740938945 + ... + 2740947135.

Almost surely, 2^{22451064440640} is an apocalyptic number.

22451064440640 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 22451064440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41097331998720).

22451064440640 is an abundant number, since it is smaller than the sum of its proper divisors (59743599556800).

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

22451064440640 is a wasteful number, since it uses less digits than its factorization.

22451064440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 22451064440640 in words is "twenty-two trillion, four hundred fifty-one billion, sixty-four million, four hundred forty thousand, six hundred forty".