13646240496 has 180 divisors, whose sum is σ = 46764361800. Its totient is φ = 3693682944.

The previous prime is 13646240479. The next prime is 13646240497. The reversal of 13646240496 is 69404264631.

13646240496 is a `hidden beast` number, since 1 + 3 + 64 + 62 + 40 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13646240497) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83170 + ... + 184958.

It is an arithmetic number, because the mean of its divisors is an integer number (259802010).

Almost surely, 2^13646240496 is an apocalyptic number.

13646240496 is a gapful number since it is divisible by the number (16) 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 13646240496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23382180900).

13646240496 is an abundant number, since it is smaller than the sum of its proper divisors (33118121304).

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

13646240496 is a wasteful number, since it uses less digits than its factorization.

13646240496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101836 (or 101820 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 13646240496 in words is "thirteen billion, six hundred forty-six million, two hundred forty thousand, four hundred ninety-six".