1161104256 has 384 divisors, whose sum is σ = 3867252480. Its totient is φ = 331776000.

The previous prime is 1161104249. The next prime is 1161104281. The reversal of 1161104256 is 6524011611.

1161104256 is a `hidden beast` number, since 1 + 1 + 611 + 0 + 42 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19034466 + ... + 19034526.

It is an arithmetic number, because the mean of its divisors is an integer number (10070970).

Almost surely, 2^1161104256 is an apocalyptic number.

1161104256 is a gapful number since it is divisible by the number (16) 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 1161104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933626240).

1161104256 is an abundant number, since it is smaller than the sum of its proper divisors (2706148224).

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

1161104256 is a wasteful number, since it uses less digits than its factorization.

1161104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1161104256 is about 34074.9799119530. The cubic root of 1161104256 is about 1051.0508771458.

Adding to 1161104256 its reverse (6524011611), we get a palindrome (7685115867).

The spelling of 1161104256 in words is "one billion, one hundred sixty-one million, one hundred four thousand, two hundred fifty-six".