30793582116864 has 432 divisors, whose sum is σ = 107018768263680. Its totient is φ = 8335062466560.

The previous prime is 30793582116863. The next prime is 30793582116877. The reversal of 30793582116864 is 46861128539703.

30793582116864 is a `hidden beast` number, since 3 + 0 + 7 + 9 + 358 + 211 + 6 + 8 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30793582116863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156795049 + ... + 156991319.

It is an arithmetic number, because the mean of its divisors is an integer number (247728630240).

It is a 1-persistent number, because it is pandigital, but 2⋅30793582116864 = 61587164233728 is not.

Almost surely, 2^{30793582116864} 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 30793582116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53509384131840).

30793582116864 is an abundant number, since it is smaller than the sum of its proper divisors (76225186146816).

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

30793582116864 is an equidigital number, since it uses as much as digits as its factorization.

30793582116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196337 (or 196302 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 30793582116864 in words is "thirty trillion, seven hundred ninety-three billion, five hundred eighty-two million, one hundred sixteen thousand, eight hundred sixty-four".