11745571104 has 192 divisors, whose sum is σ = 35259960960. Its totient is φ = 3801600000.

The previous prime is 11745571081. The next prime is 11745571139. The reversal of 11745571104 is 40117554711.

11745571104 is a `hidden beast` number, since 1 + 1 + 74 + 5 + 571 + 10 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8890764 + ... + 8892084.

It is an arithmetic number, because the mean of its divisors is an integer number (183645630).

Almost surely, 2^11745571104 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 11745571104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629980480).

11745571104 is an abundant number, since it is smaller than the sum of its proper divisors (23514389856).

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

11745571104 is a wasteful number, since it uses less digits than its factorization.

11745571104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 11745571104 in words is "eleven billion, seven hundred forty-five million, five hundred seventy-one thousand, one hundred four".