11485742708736 has 576 divisors, whose sum is σ = 35938991088000. Its totient is φ = 3522107473920.

The previous prime is 11485742708729. The next prime is 11485742708761. The reversal of 11485742708736 is 63780724758411.

It is a happy number.

11485742708736 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 574 + 27 + 0 + 8 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2695548846 + ... + 2695553106.

It is an arithmetic number, because the mean of its divisors is an integer number (62394081750).

Almost surely, 2^{11485742708736} is an apocalyptic number.

11485742708736 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 11485742708736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17969495544000).

11485742708736 is an abundant number, since it is smaller than the sum of its proper divisors (24453248379264).

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

11485742708736 is a wasteful number, since it uses less digits than its factorization.

11485742708736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 11485742708736 in words is "eleven trillion, four hundred eighty-five billion, seven hundred forty-two million, seven hundred eight thousand, seven hundred thirty-six".