93873314791872 has 1792 divisors, whose sum is σ = 355663268352000. Its totient is φ = 24067548610560.

The previous prime is 93873314791831. The next prime is 93873314791903. The reversal of 93873314791872 is 27819741337839.

93873314791872 is a `hidden beast` number, since 9 + 3 + 8 + 73 + 3 + 1 + 479 + 1 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 93873314791872.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 299914743588 + ... + 299914743900.

It is an arithmetic number, because the mean of its divisors is an integer number (198472806000).

Almost surely, 2^{93873314791872} 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 93873314791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177831634176000).

93873314791872 is an abundant number, since it is smaller than the sum of its proper divisors (261789953560128).

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

93873314791872 is a wasteful number, since it uses less digits than its factorization.

93873314791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 786 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 93873314791872 in words is "ninety-three trillion, eight hundred seventy-three billion, three hundred fourteen million, seven hundred ninety-one thousand, eight hundred seventy-two".