93048672838208 has 112 divisors (see below), whose sum is σ = 206346313768320. Its totient is φ = 41371781750784.

The previous prime is 93048672838169. The next prime is 93048672838213. The reversal of 93048672838208 is 80283827684039.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1676885 + ... + 13744427.

Almost surely, 2^{93048672838208} 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 93048672838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103173156884160).

93048672838208 is an abundant number, since it is smaller than the sum of its proper divisors (113297640930112).

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

93048672838208 is a wasteful number, since it uses less digits than its factorization.

93048672838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067964 (or 12067954 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 68.

Adding to 93048672838208 its sum of digits (68), we get a square (93048672838276 = 9646174²).

The spelling of 93048672838208 in words is "ninety-three trillion, forty-eight billion, six hundred seventy-two million, eight hundred thirty-eight thousand, two hundred eight".