11456663064264 has 320 divisors, whose sum is σ = 35583902640000. Its totient is φ = 3414903598080.

The previous prime is 11456663064251. The next prime is 11456663064283. The reversal of 11456663064264 is 46246036665411.

11456663064264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11456663064264.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109341052 + ... + 109445780.

It is an arithmetic number, because the mean of its divisors is an integer number (111199695750).

Almost surely, 2^{11456663064264} 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 11456663064264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17791951320000).

11456663064264 is an abundant number, since it is smaller than the sum of its proper divisors (24127239575736).

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

11456663064264 is a wasteful number, since it uses less digits than its factorization.

11456663064264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105010 (or 104997 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 11456663064264 in words is "eleven trillion, four hundred fifty-six billion, six hundred sixty-three million, sixty-four thousand, two hundred sixty-four".