11664274230240 has 192 divisors, whose sum is σ = 37038989123136. Its totient is φ = 3085437468672.

The previous prime is 11664274230149. The next prime is 11664274230283. The reversal of 11664274230240 is 4203247246611.

It is a happy number.

11664274230240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×11664274230240⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11664274230192 and 11664274230201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44557974 + ... + 44818986.

It is an arithmetic number, because the mean of its divisors is an integer number (192911401683).

Almost surely, 2^{11664274230240} is an apocalyptic number.

11664274230240 is a gapful number since it is divisible by the number (10) 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 11664274230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519494561568).

11664274230240 is an abundant number, since it is smaller than the sum of its proper divisors (25374714892896).

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

11664274230240 is a wasteful number, since it uses less digits than its factorization.

11664274230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261781 (or 261773 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 11664274230240 in words is "eleven trillion, six hundred sixty-four billion, two hundred seventy-four million, two hundred thirty thousand, two hundred forty".