893222065344 has 224 divisors, whose sum is σ = 2861815090176. Its totient is φ = 240025927680.

The previous prime is 893222065313. The next prime is 893222065349. The reversal of 893222065344 is 443560222398.

893222065344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 893222065293 and 893222065302.

It is not an unprimeable number, because it can be changed into a prime (893222065349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34510392 + ... + 34536264.

It is an arithmetic number, because the mean of its divisors is an integer number (12775960224).

Almost surely, 2^893222065344 is an apocalyptic number.

893222065344 is a gapful number since it is divisible by the number (84) 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 893222065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430907545088).

893222065344 is an abundant number, since it is smaller than the sum of its proper divisors (1968593024832).

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

893222065344 is a wasteful number, since it uses less digits than its factorization.

893222065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27423 (or 27413 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 893222065344 in words is "eight hundred ninety-three billion, two hundred twenty-two million, sixty-five thousand, three hundred forty-four".