1009582848396 has 192 divisors, whose sum is σ = 2748728908800. Its totient is φ = 319840012800.

The previous prime is 1009582848383. The next prime is 1009582848397. The reversal of 1009582848396 is 6938482859001.

1009582848396 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 582 + 8 + 48 + 3 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1009582848397) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 424015126 + ... + 424017506.

It is an arithmetic number, because the mean of its divisors is an integer number (14316296400).

Almost surely, 2^{1009582848396} 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 1009582848396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374364454400).

1009582848396 is an abundant number, since it is smaller than the sum of its proper divisors (1739146060404).

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

1009582848396 is a wasteful number, since it uses less digits than its factorization.

1009582848396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 1009582848396 in words is "one trillion, nine billion, five hundred eighty-two million, eight hundred forty-eight thousand, three hundred ninety-six".