1153556352 has 384 divisors, whose sum is σ = 3969725760. Its totient is φ = 317915136.

The previous prime is 1153556333. The next prime is 1153556359. The reversal of 1153556352 is 2536553511.

1153556352 is a `hidden beast` number, since 1 + 1 + 53 + 556 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (67500) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153556359) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5855518 + ... + 5855714.

Almost surely, 2^1153556352 is an apocalyptic number.

1153556352 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 1153556352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984862880).

1153556352 is an abundant number, since it is smaller than the sum of its proper divisors (2816169408).

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

1153556352 is a wasteful number, since it uses less digits than its factorization.

1153556352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 1153556352 is about 33964.0449887819. The cubic root of 1153556352 is about 1048.7684281315.

The spelling of 1153556352 in words is "one billion, one hundred fifty-three million, five hundred fifty-six thousand, three hundred fifty-two".