1322642297088 has 1728 divisors, whose sum is σ = 5081569758720. Its totient is φ = 334430208000.

The previous prime is 1322642297047. The next prime is 1322642297099. The reversal of 1322642297088 is 8807922462231.

1322642297088 is a `hidden beast` number, since 1 + 32 + 26 + 422 + 97 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13095468238 + ... + 13095468338.

It is an arithmetic number, because the mean of its divisors is an integer number (2940723240).

Almost surely, 2^{1322642297088} is an apocalyptic number.

1322642297088 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 1322642297088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540784879360).

1322642297088 is an abundant number, since it is smaller than the sum of its proper divisors (3758927461632).

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

1322642297088 is a wasteful number, since it uses less digits than its factorization.

1322642297088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1322642297088 in words is "one trillion, three hundred twenty-two billion, six hundred forty-two million, two hundred ninety-seven thousand, eighty-eight".