11004394024512 has 420 divisors, whose sum is σ = 38016878191644. Its totient is φ = 3138261719040.

The previous prime is 11004394024483. The next prime is 11004394024517. The reversal of 11004394024512 is 21542049340011.

11004394024512 is a `hidden beast` number, since 1 + 10 + 0 + 4 + 394 + 0 + 245 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4694571556416 + 6309822468096 = 2166696^2 + 2511936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11004394024517) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137382618 + ... + 137462694.

Almost surely, 2^{11004394024512} is an apocalyptic number.

11004394024512 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 11004394024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008439095822).

11004394024512 is an abundant number, since it is smaller than the sum of its proper divisors (27012484167132).

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

11004394024512 is an equidigital number, since it uses as much as digits as its factorization.

11004394024512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80656 (or 80630 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11004394024512 in words is "eleven trillion, four billion, three hundred ninety-four million, twenty-four thousand, five hundred twelve".