11382445620 has 672 divisors, whose sum is σ = 46149852672. Its totient is φ = 2290996224.

The previous prime is 11382445589. The next prime is 11382445621. The reversal of 11382445620 is 2654428311.

It is a happy number.

11382445620 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 24 + 4 + 5 + 620 = 666.

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 (11382445621) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 30515754 + ... + 30516126.

It is an arithmetic number, because the mean of its divisors is an integer number (68675376).

Almost surely, 2^11382445620 is an apocalyptic number.

11382445620 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 11382445620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23074926336).

11382445620 is an abundant number, since it is smaller than the sum of its proper divisors (34767407052).

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

11382445620 is a wasteful number, since it uses less digits than its factorization.

11382445620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11382445620 in words is "eleven billion, three hundred eighty-two million, four hundred forty-five thousand, six hundred twenty".