11023709478912 has 616 divisors, whose sum is σ = 35633001867204. Its totient is φ = 3389975691264.

The previous prime is 11023709478871. The next prime is 11023709478973. The reversal of 11023709478912 is 21987490732011.

11023709478912 is a `hidden beast` number, since 1 + 10 + 2 + 3 + 70 + 9 + 478 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8457766834176 + 2565942644736 = 2908224^2 + 1601856^2 .

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 43 ways as a sum of consecutive naturals, for example, 6288481428 + ... + 6288483180.

Almost surely, 2^{11023709478912} is an apocalyptic number.

11023709478912 is a gapful number since it is divisible by the number (12) 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 11023709478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816500933602).

11023709478912 is an abundant number, since it is smaller than the sum of its proper divisors (24609292388292).

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

11023709478912 is an frugal number, since it uses more digits than its factorization.

11023709478912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11023709478912 in words is "eleven trillion, twenty-three billion, seven hundred nine million, four hundred seventy-eight thousand, nine hundred twelve".