321105860777856 has 768 divisors, whose sum is σ = 1086549782169600. Its totient is φ = 81626310205440.

The previous prime is 321105860777813. The next prime is 321105860777857. The reversal of 321105860777856 is 658777068501123.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321105860777857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34800673915 + ... + 34800683141.

It is an arithmetic number, because the mean of its divisors is an integer number (1414778362200).

Almost surely, 2^{321105860777856} 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 321105860777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543274891084800).

321105860777856 is an abundant number, since it is smaller than the sum of its proper divisors (765443921391744).

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

321105860777856 is a wasteful number, since it uses less digits than its factorization.

321105860777856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 66.

The spelling of 321105860777856 in words is "three hundred twenty-one trillion, one hundred five billion, eight hundred sixty million, seven hundred seventy-seven thousand, eight hundred fifty-six".