11205402946208 has 96 divisors (see below), whose sum is σ = 23217680166912. Its totient is φ = 5316778137600.

The previous prime is 11205402946187. The next prime is 11205402946211. The reversal of 11205402946208 is 80264920450211.

It is a super-2 number, since 2×11205402946208² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12080753 + ... + 12975183.

It is an arithmetic number, because the mean of its divisors is an integer number (241850835072).

Almost surely, 2^{11205402946208} 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 11205402946208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608840083456).

11205402946208 is an abundant number, since it is smaller than the sum of its proper divisors (12012277220704).

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

11205402946208 is a wasteful number, since it uses less digits than its factorization.

11205402946208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894718 (or 894710 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 11205402946208 in words is "eleven trillion, two hundred five billion, four hundred two million, nine hundred forty-six thousand, two hundred eight".