893353197568 has 74 divisors (see below), whose sum is σ = 1924145348594. Its totient is φ = 412316860416.

The previous prime is 893353197559. The next prime is 893353197643. The reversal of 893353197568 is 865791353398.

It can be written as a sum of positive squares in only one way, i.e., 618475290624 + 274877906944 = 786432^2 + 524288^2 .

It is a super-2 number, since 2×893353197568² (a number of 25 digits) contains 22 as substring.

Its product of digits (146966400) is a multiple of the sum of its prime divisors (15).

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719476730 + ... + 68719476742.

Almost surely, 2^893353197568 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 893353197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962072674297).

893353197568 is an abundant number, since it is smaller than the sum of its proper divisors (1030792151026).

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

893353197568 is an frugal number, since it uses more digits than its factorization.

893353197568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 15 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 67.

The spelling of 893353197568 in words is "eight hundred ninety-three billion, three hundred fifty-three million, one hundred ninety-seven thousand, five hundred sixty-eight".