1322150715648 has 576 divisors, whose sum is σ = 4514679930880. Its totient is φ = 373869084672.

The previous prime is 1322150715637. The next prime is 1322150715689. The reversal of 1322150715648 is 8465170512231.

1322150715648 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 15 + 0 + 71 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1322150715648³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3053465640 + ... + 3053466072.

Almost surely, 2^{1322150715648} is an apocalyptic number.

1322150715648 is a gapful number since it is divisible by the number (18) 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 1322150715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257339965440).

1322150715648 is an abundant number, since it is smaller than the sum of its proper divisors (3192529215232).

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

1322150715648 is a wasteful number, since it uses less digits than its factorization.

1322150715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1322150715648 in words is "one trillion, three hundred twenty-two billion, one hundred fifty million, seven hundred fifteen thousand, six hundred forty-eight".