30648192015168 has 2016 divisors, whose sum is σ = 122958610145280. Its totient is φ = 7480472186880.

The previous prime is 30648192015107. The next prime is 30648192015251. The reversal of 30648192015168 is 86151029184603.

It is a happy number.

30648192015168 is a `hidden beast` number, since 3 + 0 + 6 + 481 + 9 + 2 + 0 + 151 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7063420743 + ... + 7063425081.

It is an arithmetic number, because the mean of its divisors is an integer number (60991374080).

Almost surely, 2^{30648192015168} 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 30648192015168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61479305072640).

30648192015168 is an abundant number, since it is smaller than the sum of its proper divisors (92310418130112).

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

30648192015168 is a wasteful number, since it uses less digits than its factorization.

30648192015168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 30648192015168 in words is "thirty trillion, six hundred forty-eight billion, one hundred ninety-two million, fifteen thousand, one hundred sixty-eight".