11874528481536 has 1152 divisors, whose sum is σ = 42931676282880. Its totient is φ = 3205513543680.

The previous prime is 11874528481507. The next prime is 11874528481583. The reversal of 11874528481536 is 63518482547811.

11874528481536 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 4 + 52 + 8 + 48 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5224164496 + ... + 5224166768.

Almost surely, 2^{11874528481536} is an apocalyptic number.

11874528481536 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 11874528481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465838141440).

11874528481536 is an abundant number, since it is smaller than the sum of its proper divisors (31057147801344).

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

11874528481536 is an frugal number, since it uses more digits than its factorization.

11874528481536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2359 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 11874528481536 in words is "eleven trillion, eight hundred seventy-four billion, five hundred twenty-eight million, four hundred eighty-one thousand, five hundred thirty-six".