30912821650368 has 672 divisors, whose sum is σ = 108699700507200. Its totient is φ = 8585952141312.

The previous prime is 30912821650351. The next prime is 30912821650369. The reversal of 30912821650368 is 86305612821903.

30912821650368 is a `hidden beast` number, since 3 + 0 + 9 + 12 + 8 + 216 + 50 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30912821650369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489118546 + ... + 489181742.

Almost surely, 2^{30912821650368} 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 30912821650368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54349850253600).

30912821650368 is an abundant number, since it is smaller than the sum of its proper divisors (77786878856832).

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

30912821650368 is a wasteful number, since it uses less digits than its factorization.

30912821650368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63394 (or 63371 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 30912821650368 in words is "thirty trillion, nine hundred twelve billion, eight hundred twenty-one million, six hundred fifty thousand, three hundred sixty-eight".