11648521872 has 320 divisors, whose sum is σ = 37751750400. Its totient is φ = 3456649728.

The previous prime is 11648521867. The next prime is 11648521891. The reversal of 11648521872 is 27812584611.

11648521872 is a `hidden beast` number, since 1 + 1 + 6 + 48 + 521 + 87 + 2 = 666.

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, 13191543 + ... + 13192425.

It is an arithmetic number, because the mean of its divisors is an integer number (117974220).

Almost surely, 2^11648521872 is an apocalyptic number.

11648521872 is a gapful number since it is divisible by the number (12) 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 11648521872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875875200).

11648521872 is an abundant number, since it is smaller than the sum of its proper divisors (26103228528).

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

11648521872 is an equidigital number, since it uses as much as digits as its factorization.

11648521872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 930 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 11648521872 in words is "eleven billion, six hundred forty-eight million, five hundred twenty-one thousand, eight hundred seventy-two".