30450545664 has 704 divisors, whose sum is σ = 109795184640. Its totient is φ = 7266631680.

The previous prime is 30450545663. The next prime is 30450545669. The reversal of 30450545664 is 46654505403.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30450545663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157774752 + ... + 157774944.

Almost surely, 2^30450545664 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 30450545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54897592320).

30450545664 is an abundant number, since it is smaller than the sum of its proper divisors (79344638976).

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

30450545664 is a wasteful number, since it uses less digits than its factorization.

30450545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 30450545664 in words is "thirty billion, four hundred fifty million, five hundred forty-five thousand, six hundred sixty-four".