93354200221968 has 480 divisors, whose sum is σ = 315216502888320. Its totient is φ = 26374237424640.

The previous prime is 93354200221967. The next prime is 93354200221993. The reversal of 93354200221968 is 86912200245339.

93354200221968 is a `hidden beast` number, since 9 + 3 + 3 + 5 + 420 + 0 + 22 + 196 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (93354200221967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679656978 + ... + 679794318.

It is an arithmetic number, because the mean of its divisors is an integer number (656701047684).

Almost surely, 2^{93354200221968} is an apocalyptic number.

93354200221968 is a gapful number since it is divisible by the number (98) 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 93354200221968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157608251444160).

93354200221968 is an abundant number, since it is smaller than the sum of its proper divisors (221862302666352).

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

93354200221968 is a wasteful number, since it uses less digits than its factorization.

93354200221968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137732 (or 137713 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 93354200221968 in words is "ninety-three trillion, three hundred fifty-four billion, two hundred million, two hundred twenty-one thousand, nine hundred sixty-eight".