11045396736 has 288 divisors, whose sum is σ = 36318119040. Its totient is φ = 3282739200.

The previous prime is 11045396731. The next prime is 11045396741. The reversal of 11045396736 is 63769354011.

It is a happy number.

11045396736 is a `hidden beast` number, since 1 + 104 + 539 + 6 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11045396731) and next prime (11045396741).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 11045396691 and 11045396700.

It is not an unprimeable number, because it can be changed into a prime (11045396731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4028326 + ... + 4031066.

It is an arithmetic number, because the mean of its divisors is an integer number (126104580).

Almost surely, 2^11045396736 is an apocalyptic number.

11045396736 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 11045396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159059520).

11045396736 is an abundant number, since it is smaller than the sum of its proper divisors (25272722304).

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

11045396736 is a wasteful number, since it uses less digits than its factorization.

11045396736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 11045396736 in words is "eleven billion, forty-five million, three hundred ninety-six thousand, seven hundred thirty-six".