81345460224000 has 3840 divisors, whose sum is σ = 350867719028736. Its totient is φ = 16307453952000.

The previous prime is 81345460223999. The next prime is 81345460224043. The reversal of 81345460224000 is 42206454318.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×81345460224000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81345460224000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 838612991952 + ... + 838612992048.

Almost surely, 2^{81345460224000} is an apocalyptic number.

81345460224000 is a gapful number since it is divisible by the number (80) 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 81345460224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175433859514368).

81345460224000 is an abundant number, since it is smaller than the sum of its proper divisors (269522258804736).

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

81345460224000 is a wasteful number, since it uses less digits than its factorization.

81345460224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 81345460224000 its reverse (42206454318), we get a palindrome (81387666678318).

The spelling of 81345460224000 in words is "eighty-one trillion, three hundred forty-five billion, four hundred sixty million, two hundred twenty-four thousand".