93434645304 has 1152 divisors, whose sum is σ = 364799635200. Its totient is φ = 21215416320.

The previous prime is 93434645299. The next prime is 93434645357. The reversal of 93434645304 is 40354643439.

It is a self number, because there is not a number n which added to its sum of digits gives 93434645304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1279926612 + ... + 1279926684.

It is an arithmetic number, because the mean of its divisors is an integer number (316666350).

Almost surely, 2^93434645304 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 93434645304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182399817600).

93434645304 is an abundant number, since it is smaller than the sum of its proper divisors (271364989896).

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

93434645304 is a wasteful number, since it uses less digits than its factorization.

93434645304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 93434645304 in words is "ninety-three billion, four hundred thirty-four million, six hundred forty-five thousand, three hundred four".