13342620816 has 360 divisors, whose sum is σ = 47131530264. Its totient is φ = 3499130880.

The previous prime is 13342620791. The next prime is 13342620853. The reversal of 13342620816 is 61802624331.

13342620816 is a `hidden beast` number, since 13 + 3 + 4 + 2 + 620 + 8 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4172643216 + 9169977600 = 64596^2 + 95760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4916676 + ... + 4919388.

Almost surely, 2^13342620816 is an apocalyptic number.

13342620816 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 13342620816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23565765132).

13342620816 is an abundant number, since it is smaller than the sum of its proper divisors (33788909448).

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

13342620816 is a wasteful number, since it uses less digits than its factorization.

13342620816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13342620816 in words is "thirteen billion, three hundred forty-two million, six hundred twenty thousand, eight hundred sixteen".