11217375648 has 144 divisors (see below), whose sum is σ = 34398000000. Its totient is φ = 3455861760.

The previous prime is 11217375623. The next prime is 11217375661. The reversal of 11217375648 is 84657371211.

11217375648 is a `hidden beast` number, since 1 + 1 + 217 + 375 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199353 + ... + 249351.

It is an arithmetic number, because the mean of its divisors is an integer number (238875000).

Almost surely, 2^11217375648 is an apocalyptic number.

11217375648 is a gapful number since it is divisible by the number (18) 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 11217375648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199000000).

11217375648 is an abundant number, since it is smaller than the sum of its proper divisors (23180624352).

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

11217375648 is a wasteful number, since it uses less digits than its factorization.

11217375648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50075 (or 50064 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 11217375648 in words is "eleven billion, two hundred seventeen million, three hundred seventy-five thousand, six hundred forty-eight".