1152863712 has 768 divisors, whose sum is σ = 4768727040. Its totient is φ = 261273600.

The previous prime is 1152863639. The next prime is 1152863713. The reversal of 1152863712 is 2173682511.

1152863712 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 8 + 637 + 12 = 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 (1152863713) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26810763 + ... + 26810805.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2^1152863712 is an apocalyptic number.

1152863712 is a gapful number since it is divisible by the number (12) 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 1152863712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384363520).

1152863712 is an abundant number, since it is smaller than the sum of its proper divisors (3615863328).

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

1152863712 is a wasteful number, since it uses less digits than its factorization.

1152863712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1152863712 is about 33953.8467923739. The cubic root of 1152863712 is about 1048.5584790173.

The spelling of 1152863712 in words is "one billion, one hundred fifty-two million, eight hundred sixty-three thousand, seven hundred twelve".