30338825197824 has 2160 divisors, whose sum is σ = 111202030567936. Its totient is φ = 8166785679360.

The previous prime is 30338825197823. The next prime is 30338825197871. The reversal of 30338825197824 is 42879152883303.

30338825197824 is a `hidden beast` number, since 3 + 0 + 3 + 38 + 8 + 2 + 519 + 7 + 82 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (30338825197823) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 136048543377 + ... + 136048543599.

Almost surely, 2^{30338825197824} 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 30338825197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55601015283968).

30338825197824 is an abundant number, since it is smaller than the sum of its proper divisors (80863205370112).

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

30338825197824 is a wasteful number, since it uses less digits than its factorization.

30338825197824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 30338825197824 in words is "thirty trillion, three hundred thirty-eight billion, eight hundred twenty-five million, one hundred ninety-seven thousand, eight hundred twenty-four".