30346220368464 has 1280 divisors, whose sum is σ = 111850601103360. Its totient is φ = 6834659328000.

The previous prime is 30346220368447. The next prime is 30346220368561. The reversal of 30346220368464 is 46486302264303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36962509174 + ... + 36962509994.

It is an arithmetic number, because the mean of its divisors is an integer number (87383282112).

Almost surely, 2^{30346220368464} 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 30346220368464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55925300551680).

30346220368464 is an abundant number, since it is smaller than the sum of its proper divisors (81504380734896).

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

30346220368464 is a wasteful number, since it uses less digits than its factorization.

30346220368464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 51.

The spelling of 30346220368464 in words is "thirty trillion, three hundred forty-six billion, two hundred twenty million, three hundred sixty-eight thousand, four hundred sixty-four".