1151653824 has 84 divisors (see below), whose sum is σ = 3315802360. Its totient is φ = 382164480.

The previous prime is 1151653819. The next prime is 1151653871. The reversal of 1151653824 is 4283561511.

1151653824 is a `hidden beast` number, since 11 + 516 + 53 + 82 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127539 + ... + 136269.

Almost surely, 2^1151653824 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 1151653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657901180).

1151653824 is an abundant number, since it is smaller than the sum of its proper divisors (2164148536).

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

1151653824 is a wasteful number, since it uses less digits than its factorization.

1151653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978 (or 8965 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1151653824 is about 33936.0254596793. The cubic root of 1151653824 is about 1048.1915427920.

The spelling of 1151653824 in words is "one billion, one hundred fifty-one million, six hundred fifty-three thousand, eight hundred twenty-four".