1322082238464 has 864 divisors, whose sum is σ = 4445811062784. Its totient is φ = 389850071040.

The previous prime is 1322082238409. The next prime is 1322082238481. The reversal of 1322082238464 is 4648322802231.

1322082238464 is a `hidden beast` number, since 1 + 3 + 2 + 208 + 2 + 2 + 384 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1322082238464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12835749837 + ... + 12835749939.

It is an arithmetic number, because the mean of its divisors is an integer number (5145614656).

Almost surely, 2^{1322082238464} 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 1322082238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222905531392).

1322082238464 is an abundant number, since it is smaller than the sum of its proper divisors (3123728824320).

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

1322082238464 is an frugal number, since it uses more digits than its factorization.

1322082238464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1322082238464 in words is "one trillion, three hundred twenty-two billion, eighty-two million, two hundred thirty-eight thousand, four hundred sixty-four".