9053782416 has 240 divisors, whose sum is σ = 30768566400. Its totient is φ = 2427604992.

The previous prime is 9053782393. The next prime is 9053782421. The reversal of 9053782416 is 6142873509.

9053782416 is a `hidden beast` number, since 90 + 537 + 8 + 24 + 1 + 6 = 666.

9053782416 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

9053782416 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2085400 + ... + 2089736.

It is an arithmetic number, because the mean of its divisors is an integer number (128202360).

It is a 1-persistent number, because it is pandigital, but 2⋅9053782416 = 18107564832 is not.

Almost surely, 2^9053782416 is an apocalyptic number.

9053782416 is the 54936-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9053782416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15384283200).

9053782416 is an abundant number, since it is smaller than the sum of its proper divisors (21714783984).

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

9053782416 is a wasteful number, since it uses less digits than its factorization.

9053782416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9053782416 is about 95151.3658125831. The cubic root of 9053782416 is about 2084.2190018681.

The spelling of 9053782416 in words is "nine billion, fifty-three million, seven hundred eighty-two thousand, four hundred sixteen".