11649097824 has 384 divisors, whose sum is σ = 38833966080. Its totient is φ = 2976251904.

The previous prime is 11649097769. The next prime is 11649097843. The reversal of 11649097824 is 42879094611.

It is a super-2 number, since 2×11649097824² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49996012 + ... + 49996244.

It is an arithmetic number, because the mean of its divisors is an integer number (101130120).

Almost surely, 2^11649097824 is an apocalyptic number.

11649097824 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 11649097824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416983040).

11649097824 is an abundant number, since it is smaller than the sum of its proper divisors (27184868256).

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

11649097824 is a wasteful number, since it uses less digits than its factorization.

11649097824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 11649097824 in words is "eleven billion, six hundred forty-nine million, ninety-seven thousand, eight hundred twenty-four".