11523424273248 has 96 divisors (see below), whose sum is σ = 30659108014080. Its totient is φ = 3789317468160.

The previous prime is 11523424273211. The next prime is 11523424273253. The reversal of 11523424273248 is 84237242432511.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 11523424273197 and 11523424273206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906513 + ... + 4885551.

It is an arithmetic number, because the mean of its divisors is an integer number (319365708480).

Almost surely, 2^{11523424273248} 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 11523424273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329554007040).

11523424273248 is an abundant number, since it is smaller than the sum of its proper divisors (19135683740832).

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

11523424273248 is a wasteful number, since it uses less digits than its factorization.

11523424273248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979460 (or 3979452 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The spelling of 11523424273248 in words is "eleven trillion, five hundred twenty-three billion, four hundred twenty-four million, two hundred seventy-three thousand, two hundred forty-eight".