1322901893664 has 720 divisors, whose sum is σ = 4519829160000. Its totient is φ = 378221156352.

The previous prime is 1322901893641. The next prime is 1322901893671. The reversal of 1322901893664 is 4663981092231.

1322901893664 is a `hidden beast` number, since 13 + 2 + 2 + 90 + 189 + 366 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1322901893664.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 441112837 + ... + 441115835.

It is an arithmetic number, because the mean of its divisors is an integer number (6277540500).

Almost surely, 2^{1322901893664} 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 1322901893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259914580000).

1322901893664 is an abundant number, since it is smaller than the sum of its proper divisors (3196927266336).

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

1322901893664 is a wasteful number, since it uses less digits than its factorization.

1322901893664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

It can be divided in two parts, 1322901 and 893664, that added together give a triangular number (2216565 = T₂₁₀₅).

The spelling of 1322901893664 in words is "one trillion, three hundred twenty-two billion, nine hundred one million, eight hundred ninety-three thousand, six hundred sixty-four".