11004045696000 has 3520 divisors, whose sum is σ = 49774672257024. Its totient is φ = 2364899328000.

The previous prime is 11004045695987. The next prime is 11004045696001. The reversal of 11004045696000 is 69654040011.

11004045696000 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 4 + 0 + 45 + 6 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×11004045696000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004045696001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 150740351964 + ... + 150740352036.

Almost surely, 2^{11004045696000} is an apocalyptic number.

11004045696000 is a gapful number since it is divisible by the number (10) 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 11004045696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24887336128512).

11004045696000 is an abundant number, since it is smaller than the sum of its proper divisors (38770626561024).

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

11004045696000 is an equidigital number, since it uses as much as digits as its factorization.

11004045696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11004045696000 in words is "eleven trillion, four billion, forty-five million, six hundred ninety-six thousand".