30506717146464 has 768 divisors, whose sum is σ = 101044557250560. Its totient is φ = 8884138475520.

The previous prime is 30506717146439. The next prime is 30506717146523. The reversal of 30506717146464 is 46464171760503.

30506717146464 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 6 + 7 + 171 + 4 + 6 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30506717146464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15124796784 + ... + 15124798800.

It is an arithmetic number, because the mean of its divisors is an integer number (131568433920).

Almost surely, 2^{30506717146464} 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 30506717146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50522278625280).

30506717146464 is an abundant number, since it is smaller than the sum of its proper divisors (70537840104096).

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

30506717146464 is a wasteful number, since it uses less digits than its factorization.

30506717146464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 30506717146464 in words is "thirty trillion, five hundred six billion, seven hundred seventeen million, one hundred forty-six thousand, four hundred sixty-four".