11415441063936 has 720 divisors, whose sum is σ = 37972219872384. Its totient is φ = 2986604494848.

The previous prime is 11415441063899. The next prime is 11415441063959. The reversal of 11415441063936 is 63936014451411.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 7966113076 + ... + 7966114508.

Almost surely, 2^{11415441063936} is an apocalyptic number.

11415441063936 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 11415441063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986109936192).

11415441063936 is an abundant number, since it is smaller than the sum of its proper divisors (26556778808448).

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

11415441063936 is a wasteful number, since it uses less digits than its factorization.

11415441063936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 11415441063936 in words is "eleven trillion, four hundred fifteen billion, four hundred forty-one million, sixty-three thousand, nine hundred thirty-six".