93140585434624 has 480 divisors, whose sum is σ = 238040009776800. Its totient is φ = 36079552954368.

The previous prime is 93140585434613. The next prime is 93140585434627. The reversal of 93140585434624 is 42643458504139.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93140585434627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058889352 + ... + 3058919800.

It is an arithmetic number, because the mean of its divisors is an integer number (495916687035).

Almost surely, 2^{93140585434624} 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 93140585434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119020004888400).

93140585434624 is an abundant number, since it is smaller than the sum of its proper divisors (144899424342176).

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

93140585434624 is a wasteful number, since it uses less digits than its factorization.

93140585434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30690 (or 30667 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 58.

The spelling of 93140585434624 in words is "ninety-three trillion, one hundred forty billion, five hundred eighty-five million, four hundred thirty-four thousand, six hundred twenty-four".