93981217248 has 96 divisors (see below), whose sum is σ = 274164549120. Its totient is φ = 31321054080.

The previous prime is 93981217247. The next prime is 93981217303. The reversal of 93981217248 is 84271218939.

93981217248 is a `hidden beast` number, since 9 + 398 + 1 + 2 + 1 + 7 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 93981217194 and 93981217203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93981217247) 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 15 ways as a sum of consecutive naturals, for example, 8471161 + ... + 8482247.

It is an arithmetic number, because the mean of its divisors is an integer number (2855880720).

Almost surely, 2^93981217248 is an apocalyptic number.

It is an amenable number.

93981217248 is an abundant number, since it is smaller than the sum of its proper divisors (180183331872).

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

93981217248 is a wasteful number, since it uses less digits than its factorization.

93981217248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20917 (or 20903 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 93981217248 in words is "ninety-three billion, nine hundred eighty-one million, two hundred seventeen thousand, two hundred forty-eight".