1135056384 has 360 divisors, whose sum is σ = 4166204328. Its totient is φ = 294174720.

The previous prime is 1135056383. The next prime is 1135056407. The reversal of 1135056384 is 4836505311.

1135056384 is a `hidden beast` number, since 1 + 13 + 5 + 0 + 5 + 638 + 4 = 666.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135056383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2483484 + ... + 2483940.

Almost surely, 2^1135056384 is an apocalyptic number.

1135056384 is a gapful number since it is divisible by the number (14) 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 1135056384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083102164).

1135056384 is an abundant number, since it is smaller than the sum of its proper divisors (3031147944).

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

1135056384 is a wasteful number, since it uses less digits than its factorization.

1135056384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1135056384 is about 33690.5978575626. The cubic root of 1135056384 is about 1043.1317041618.

The spelling of 1135056384 in words is "one billion, one hundred thirty-five million, fifty-six thousand, three hundred eighty-four".