11531649024 has 544 divisors, whose sum is σ = 41942720000. Its totient is φ = 3121348608.

The previous prime is 11531649023. The next prime is 11531649037. The reversal of 11531649024 is 42094613511.

It is a happy number.

11531649024 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 1 + 649 + 0 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11531649024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11531649023) 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, 606928887 + ... + 606928905.

Almost surely, 2^11531649024 is an apocalyptic number.

11531649024 is a gapful number since it is divisible by the number (14) 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 11531649024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971360000).

11531649024 is an abundant number, since it is smaller than the sum of its proper divisors (30411070976).

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

11531649024 is an frugal number, since it uses more digits than its factorization.

11531649024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11531649024 in words is "eleven billion, five hundred thirty-one million, six hundred forty-nine thousand, twenty-four".