11815105088448 has 168 divisors, whose sum is σ = 35209818775040. Its totient is φ = 3783903828480.

The previous prime is 11815105088431. The next prime is 11815105088453. The reversal of 11815105088448 is 84488050151811.

11815105088448 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 5 + 10 + 508 + 84 + 48 = 666.

11815105088448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11815105088448³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11815105088394 and 11815105088403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101811 + ... + 4862157.

Almost surely, 2^{11815105088448} is an apocalyptic number.

11815105088448 is a gapful number since it is divisible by the number (18) 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 11815105088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604909387520).

11815105088448 is an abundant number, since it is smaller than the sum of its proper divisors (23394713686592).

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

11815105088448 is a wasteful number, since it uses less digits than its factorization.

11815105088448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760535 (or 4760522 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 54.

The spelling of 11815105088448 in words is "eleven trillion, eight hundred fifteen billion, one hundred five million, eighty-eight thousand, four hundred forty-eight".