11546132256 has 96 divisors (see below), whose sum is σ = 34311755520. Its totient is φ = 3776078592.

The previous prime is 11546132243. The next prime is 11546132261. The reversal of 11546132256 is 65223164511.

11546132256 is a `hidden beast` number, since 1 + 15 + 4 + 613 + 2 + 25 + 6 = 666.

11546132256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 11546132256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80280 + ... + 171863.

It is an arithmetic number, because the mean of its divisors is an integer number (357414120).

Almost surely, 2^11546132256 is an apocalyptic number.

11546132256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11546132256 is an abundant number, since it is smaller than the sum of its proper divisors (22765623264).

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

11546132256 is a wasteful number, since it uses less digits than its factorization.

11546132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252215 (or 252201 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 11546132256 its reverse (65223164511), we get a palindrome (76769296767).

The spelling of 11546132256 in words is "eleven billion, five hundred forty-six million, one hundred thirty-two thousand, two hundred fifty-six".