1322405148456 has 384 divisors, whose sum is σ = 4306288896000. Its totient is φ = 358746195456.

The previous prime is 1322405148443. The next prime is 1322405148509. The reversal of 1322405148456 is 6548415042231.

1322405148456 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 0 + 514 + 84 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152927925 + ... + 152936571.

It is an arithmetic number, because the mean of its divisors is an integer number (11214294000).

Almost surely, 2^{1322405148456} 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 1322405148456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153144448000).

1322405148456 is an abundant number, since it is smaller than the sum of its proper divisors (2983883747544).

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

1322405148456 is a wasteful number, since it uses less digits than its factorization.

1322405148456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8901 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1322405148456 in words is "one trillion, three hundred twenty-two billion, four hundred five million, one hundred forty-eight thousand, four hundred fifty-six".