30573294961664 has 1584 divisors, whose sum is σ = 88759750181760. Its totient is φ = 10367336448000.

The previous prime is 30573294961637. The next prime is 30573294961667. The reversal of 30573294961664 is 46616949237503.

It is a self number, because there is not a number n which added to its sum of digits gives 30573294961664.

It is not an unprimeable number, because it can be changed into a prime (30573294961667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202472151989 + ... + 202472152139.

Almost surely, 2^{30573294961664} is an apocalyptic number.

30573294961664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30573294961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44379875090880).

30573294961664 is an abundant number, since it is smaller than the sum of its proper divisors (58186455220096).

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

30573294961664 is a wasteful number, since it uses less digits than its factorization.

30573294961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 65.

The spelling of 30573294961664 in words is "thirty trillion, five hundred seventy-three billion, two hundred ninety-four million, nine hundred sixty-one thousand, six hundred sixty-four".