1152516456 has 216 divisors, whose sum is σ = 3933843030. Its totient is φ = 303803136.

The previous prime is 1152516451. The next prime is 1152516457. The reversal of 1152516456 is 6546152511.

1152516456 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 5 + 1 + 645 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 684659556 + 467856900 = 26166^2 + 21630^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1152516456.

It is not an unprimeable number, because it can be changed into a prime (1152516451) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 595266 + ... + 597198.

Almost surely, 2^1152516456 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 1152516456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966921515).

1152516456 is an abundant number, since it is smaller than the sum of its proper divisors (2781326574).

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

1152516456 is a wasteful number, since it uses less digits than its factorization.

1152516456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1958 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 1152516456 is about 33948.7327598542. The cubic root of 1152516456 is about 1048.4531890961.

Adding to 1152516456 its reverse (6546152511), we get a palindrome (7698668967).

The spelling of 1152516456 in words is "one billion, one hundred fifty-two million, five hundred sixteen thousand, four hundred fifty-six".