82430060230944 has 144 divisors (see below), whose sum is σ = 240920660373120. Its totient is φ = 26723971422720.

The previous prime is 82430060230943. The next prime is 82430060230967. The reversal of 82430060230944 is 44903206003428.

82430060230944 is a `hidden beast` number, since 8 + 2 + 4 + 3 + 0 + 0 + 602 + 30 + 9 + 4 + 4 = 666.

82430060230944 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82430060230944² (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 82430060230944.

It is not an unprimeable number, because it can be changed into a prime (82430060230943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25512787 + ... + 28561554.

It is an arithmetic number, because the mean of its divisors is an integer number (1673060141480).

Almost surely, 2^{82430060230944} is an apocalyptic number.

It is an amenable number.

82430060230944 is an abundant number, since it is smaller than the sum of its proper divisors (158490600142176).

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

82430060230944 is a wasteful number, since it uses less digits than its factorization.

82430060230944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54074503 (or 54074492 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 82430060230944 in words is "eighty-two trillion, four hundred thirty billion, sixty million, two hundred thirty thousand, nine hundred forty-four".