13456602000 has 240 divisors, whose sum is σ = 47799797760. Its totient is φ = 3527328000.

The previous prime is 13456601993. The next prime is 13456602001. The reversal of 13456602000 is 20665431.

13456602000 is a `hidden beast` number, since 1 + 3 + 4 + 56 + 602 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (13456602001) 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, 1055665 + ... + 1068335.

It is an arithmetic number, because the mean of its divisors is an integer number (199165824).

Almost surely, 2^13456602000 is an apocalyptic number.

13456602000 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 13456602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23899898880).

13456602000 is an abundant number, since it is smaller than the sum of its proper divisors (34343195760).

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

13456602000 is a wasteful number, since it uses less digits than its factorization.

13456602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12759 (or 12740 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13456602000 in words is "thirteen billion, four hundred fifty-six million, six hundred two thousand".