11382690816 has 528 divisors, whose sum is σ = 40557718656. Its totient is φ = 3001024512.

The previous prime is 11382690811. The next prime is 11382690859. The reversal of 11382690816 is 61809628311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382690811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106380235 + ... + 106380341.

Almost surely, 2^11382690816 is an apocalyptic number.

11382690816 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 11382690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278859328).

11382690816 is an abundant number, since it is smaller than the sum of its proper divisors (29175027840).

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

11382690816 is a wasteful number, since it uses less digits than its factorization.

11382690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11382690816 in words is "eleven billion, three hundred eighty-two million, six hundred ninety thousand, eight hundred sixteen".