22518641543040 has 1536 divisors, whose sum is σ = 88578157824000. Its totient is φ = 5237177057280.

The previous prime is 22518641543009. The next prime is 22518641543077. The reversal of 22518641543040 is 4034514681522.

22518641543040 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 8 + 64 + 1 + 543 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29747214342 + ... + 29747215098.

It is an arithmetic number, because the mean of its divisors is an integer number (57668071500).

Almost surely, 2^{22518641543040} is an apocalyptic number.

22518641543040 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 22518641543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44289078912000).

22518641543040 is an abundant number, since it is smaller than the sum of its proper divisors (66059516280960).

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

22518641543040 is a wasteful number, since it uses less digits than its factorization.

22518641543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 22518641543040 in words is "twenty-two trillion, five hundred eighteen billion, six hundred forty-one million, five hundred forty-three thousand, forty".