13393188864 has 384 divisors, whose sum is σ = 43919366400. Its totient is φ = 3999006720.

The previous prime is 13393188827. The next prime is 13393188869. The reversal of 13393188864 is 46888139331.

13393188864 is a `hidden beast` number, since 13 + 393 + 188 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13393188864² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13393188864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13393188869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59000719 + ... + 59000945.

It is an arithmetic number, because the mean of its divisors is an integer number (114373350).

Almost surely, 2^13393188864 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 13393188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21959683200).

13393188864 is an abundant number, since it is smaller than the sum of its proper divisors (30526177536).

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

13393188864 is a wasteful number, since it uses less digits than its factorization.

13393188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 340 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 13393188864 in words is "thirteen billion, three hundred ninety-three million, one hundred eighty-eight thousand, eight hundred sixty-four".