1056016384 has 96 divisors (see below), whose sum is σ = 2193609600. Its totient is φ = 507985920.

The previous prime is 1056016369. The next prime is 1056016477. The reversal of 1056016384 is 4836106501.

It is a happy number.

It is a super-3 number, since 3×1056016384³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9869259 + ... + 9869365.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 2^1056016384 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 1056016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

1056016384 is an abundant number, since it is smaller than the sum of its proper divisors (1137593216).

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

1056016384 is an equidigital number, since it uses as much as digits as its factorization.

1056016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1056016384 is about 32496.4057089396. The cubic root of 1056016384 is about 1018.3339404126. Note that the first 3 decimals are identical.

The spelling of 1056016384 in words is "one billion, fifty-six million, sixteen thousand, three hundred eighty-four".