30148632314640 has 480 divisors, whose sum is σ = 115978836879360. Its totient is φ = 6875319730176.

The previous prime is 30148632314627. The next prime is 30148632314659. The reversal of 30148632314640 is 4641323684103.

30148632314640 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 8 + 632 + 3 + 1 + 4 + 6 + 4 + 0 = 666.

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

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, 8128505106 + ... + 8128508814.

It is an arithmetic number, because the mean of its divisors is an integer number (241622576832).

Almost surely, 2^{30148632314640} is an apocalyptic number.

30148632314640 is a gapful number since it is divisible by the number (30) 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 30148632314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57989418439680).

30148632314640 is an abundant number, since it is smaller than the sum of its proper divisors (85830204564720).

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

30148632314640 is a wasteful number, since it uses less digits than its factorization.

30148632314640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6990 counting only the distinct ones).

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

Adding to 30148632314640 its reverse (4641323684103), we get a palindrome (34789955998743).

The spelling of 30148632314640 in words is "thirty trillion, one hundred forty-eight billion, six hundred thirty-two million, three hundred fourteen thousand, six hundred forty".