11312613248 has 128 divisors (see below), whose sum is σ = 24725779200. Its totient is φ = 5140316160.

The previous prime is 11312613241. The next prime is 11312613259. The reversal of 11312613248 is 84231621311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312613241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4256336 + ... + 4258992.

It is an arithmetic number, because the mean of its divisors is an integer number (193170150).

Almost surely, 2^11312613248 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 11312613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362889600).

11312613248 is an abundant number, since it is smaller than the sum of its proper divisors (13413165952).

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

11312613248 is a wasteful number, since it uses less digits than its factorization.

11312613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2756 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The spelling of 11312613248 in words is "eleven billion, three hundred twelve million, six hundred thirteen thousand, two hundred forty-eight".