93450838656 has 256 divisors, whose sum is σ = 286800433920. Its totient is φ = 26409369600.

The previous prime is 93450838651. The next prime is 93450838693. The reversal of 93450838656 is 65683805439.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 93450838596 and 93450838605.

It is not an unprimeable number, because it can be changed into a prime (93450838651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117252850 + ... + 117253646.

It is an arithmetic number, because the mean of its divisors is an integer number (1120314195).

Almost surely, 2^93450838656 is an apocalyptic number.

93450838656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93450838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143400216960).

93450838656 is an abundant number, since it is smaller than the sum of its proper divisors (193349595264).

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

93450838656 is a wasteful number, since it uses less digits than its factorization.

93450838656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 93450838656 in words is "ninety-three billion, four hundred fifty million, eight hundred thirty-eight thousand, six hundred fifty-six".