30282661198368 has 192 divisors, whose sum is σ = 88973836156800. Its totient is φ = 10020152355840.

The previous prime is 30282661198351. The next prime is 30282661198369. The reversal of 30282661198368 is 86389116628203.

It is a happy number.

30282661198368 is a `hidden beast` number, since 3 + 0 + 2 + 8 + 2 + 6 + 611 + 9 + 8 + 3 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (30282661198369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116620038 + ... + 116879418.

It is an arithmetic number, because the mean of its divisors is an integer number (463405396650).

Almost surely, 2^{30282661198368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30282661198368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44486918078400).

30282661198368 is an abundant number, since it is smaller than the sum of its proper divisors (58691174958432).

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

30282661198368 is a wasteful number, since it uses less digits than its factorization.

30282661198368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260392 (or 260378 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 30282661198368 in words is "thirty trillion, two hundred eighty-two billion, six hundred sixty-one million, one hundred ninety-eight thousand, three hundred sixty-eight".