11649617496 has 288 divisors, whose sum is σ = 36117057600. Its totient is φ = 3362515200.

The previous prime is 11649617479. The next prime is 11649617633. The reversal of 11649617496 is 69471694611.

11649617496 is a `hidden beast` number, since 1 + 1 + 64 + 96 + 1 + 7 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173874855 + ... + 173874921.

It is an arithmetic number, because the mean of its divisors is an integer number (125406450).

Almost surely, 2^11649617496 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 11649617496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058528800).

11649617496 is an abundant number, since it is smaller than the sum of its proper divisors (24467440104).

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

11649617496 is a wasteful number, since it uses less digits than its factorization.

11649617496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 203 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 11649617496 in words is "eleven billion, six hundred forty-nine million, six hundred seventeen thousand, four hundred ninety-six".