11863142913024 has 264 divisors, whose sum is σ = 36915362513120. Its totient is φ = 3647642222592.

The previous prime is 11863142912993. The next prime is 11863142913101. The reversal of 11863142913024 is 42031924136811.

11863142913024 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 314 + 29 + 1 + 302 + 4 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 174765939 + ... + 174833805.

Almost surely, 2^{11863142913024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11863142913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457681256560).

11863142913024 is an abundant number, since it is smaller than the sum of its proper divisors (25052219600096).

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

11863142913024 is a wasteful number, since it uses less digits than its factorization.

11863142913024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69365 (or 69344 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11863142913024 in words is "eleven trillion, eight hundred sixty-three billion, one hundred forty-two million, nine hundred thirteen thousand, twenty-four".