11431148544 has 352 divisors, whose sum is σ = 35814312000. Its totient is φ = 3596156928.

The previous prime is 11431148539. The next prime is 11431148549. The reversal of 11431148544 is 44584113411.

It is an interprime number because it is at equal distance from previous prime (11431148539) and next prime (11431148549).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11431148499 and 11431148508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431148549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42494842 + ... + 42495110.

Almost surely, 2^11431148544 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 11431148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907156000).

11431148544 is an abundant number, since it is smaller than the sum of its proper divisors (24383163456).

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

11431148544 is a wasteful number, since it uses less digits than its factorization.

11431148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The spelling of 11431148544 in words is "eleven billion, four hundred thirty-one million, one hundred forty-eight thousand, five hundred forty-four".