1099893438336 has 576 divisors, whose sum is σ = 3746547181440. Its totient is φ = 284853381120.

The previous prime is 1099893438269. The next prime is 1099893438341. The reversal of 1099893438336 is 6338343989901.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1336443621 + ... + 1336444443.

It is an arithmetic number, because the mean of its divisors is an integer number (6504422190).

Almost surely, 2^{1099893438336} is an apocalyptic number.

1099893438336 is a gapful number since it is divisible by the number (16) 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 1099893438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873273590720).

1099893438336 is an abundant number, since it is smaller than the sum of its proper divisors (2646653743104).

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

1099893438336 is a wasteful number, since it uses less digits than its factorization.

1099893438336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 66.

The spelling of 1099893438336 in words is "one trillion, ninety-nine billion, eight hundred ninety-three million, four hundred thirty-eight thousand, three hundred thirty-six".