30661336903824 has 945 divisors, whose sum is σ = 100866096454179. Its totient is φ = 9018216155520.

The previous prime is 30661336903801. The next prime is 30661336903933. The reversal of 30661336903824 is 42830963316603.

It is a happy number.

The square root of 30661336903824 is 5537268.

It is a perfect power (a square), and thus also a powerful number.

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

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 188 ways as a sum of consecutive naturals, for example, 388118188617 + ... + 388118188695.

Almost surely, 2^{30661336903824} is an apocalyptic number.

30661336903824 is the 5537268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30661336903824

30661336903824 is an abundant number, since it is smaller than the sum of its proper divisors (70204759550355).

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

30661336903824 is an frugal number, since it uses more digits than its factorization.

30661336903824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 30661336903824 in words is "thirty trillion, six hundred sixty-one billion, three hundred thirty-six million, nine hundred three thousand, eight hundred twenty-four".