11607745248 has 288 divisors, whose sum is σ = 39790662912. Its totient is φ = 3166310400.

The previous prime is 11607745213. The next prime is 11607745249. The reversal of 11607745248 is 84254770611.

11607745248 is a `hidden beast` number, since 11 + 607 + 7 + 4 + 5 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11607745249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1234003 + ... + 1243373.

It is an arithmetic number, because the mean of its divisors is an integer number (138162024).

Almost surely, 2^11607745248 is an apocalyptic number.

11607745248 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 11607745248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895331456).

11607745248 is an abundant number, since it is smaller than the sum of its proper divisors (28182917664).

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

11607745248 is a wasteful number, since it uses less digits than its factorization.

11607745248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9438 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 11607745248 in words is "eleven billion, six hundred seven million, seven hundred forty-five thousand, two hundred forty-eight".