11533653245664 has 384 divisors, whose sum is σ = 36991370304000. Its totient is φ = 3467216793600.

The previous prime is 11533653245659. The next prime is 11533653245671. The reversal of 11533653245664 is 46654235633511.

11533653245664 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 3 + 6 + 53 + 24 + 566 + 4 = 666.

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 11533653245664.

It is a congruent number.

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, 611563467 + ... + 611582325.

It is an arithmetic number, because the mean of its divisors is an integer number (96331693500).

Almost surely, 2^{11533653245664} 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 11533653245664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495685152000).

11533653245664 is an abundant number, since it is smaller than the sum of its proper divisors (25457717058336).

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

11533653245664 is a wasteful number, since it uses less digits than its factorization.

11533653245664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19399 (or 19385 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 11533653245664 in words is "eleven trillion, five hundred thirty-three billion, six hundred fifty-three million, two hundred forty-five thousand, six hundred sixty-four".