11648774904 has 256 divisors, whose sum is σ = 33906432000. Its totient is φ = 3305111040.

The previous prime is 11648774887. The next prime is 11648774941. The reversal of 11648774904 is 40947784611.

It is a happy number.

11648774904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55207359 + ... + 55207569.

It is an arithmetic number, because the mean of its divisors is an integer number (132447000).

Almost surely, 2^11648774904 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 11648774904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953216000).

11648774904 is an abundant number, since it is smaller than the sum of its proper divisors (22257657096).

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

11648774904 is a wasteful number, since it uses less digits than its factorization.

11648774904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 11648774904 in words is "eleven billion, six hundred forty-eight million, seven hundred seventy-four thousand, nine hundred four".