30846538435856 has 320 divisors, whose sum is σ = 71652401452800. Its totient is φ = 12680434483200.

The previous prime is 30846538435849. The next prime is 30846538435871. The reversal of 30846538435856 is 65853483564803.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24936570470 + ... + 24936571706.

It is an arithmetic number, because the mean of its divisors is an integer number (223913754540).

Almost surely, 2^{30846538435856} 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 30846538435856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35826200726400).

30846538435856 is an abundant number, since it is smaller than the sum of its proper divisors (40805863016944).

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

30846538435856 is a wasteful number, since it uses less digits than its factorization.

30846538435856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 68.

The spelling of 30846538435856 in words is "thirty trillion, eight hundred forty-six billion, five hundred thirty-eight million, four hundred thirty-five thousand, eight hundred fifty-six".