30783821148864 has 336 divisors, whose sum is σ = 105393516009600. Its totient is φ = 8785395343872.

The previous prime is 30783821148841. The next prime is 30783821148887. The reversal of 30783821148864 is 46884112838703.

It is a happy number.

30783821148864 is a `hidden beast` number, since 3 + 0 + 7 + 8 + 3 + 82 + 11 + 488 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (30783821148841) and next prime (30783821148887).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74559507 + ... + 74971245.

It is an arithmetic number, because the mean of its divisors is an integer number (313671178600).

Almost surely, 2^{30783821148864} 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 30783821148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52696758004800).

30783821148864 is an abundant number, since it is smaller than the sum of its proper divisors (74609694860736).

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

30783821148864 is a wasteful number, since it uses less digits than its factorization.

30783821148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412657 (or 412634 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 30783821148864 in words is "thirty trillion, seven hundred eighty-three billion, eight hundred twenty-one million, one hundred forty-eight thousand, eight hundred sixty-four".