13009045367808 has 1320 divisors, whose sum is σ = 47274373048320. Its totient is φ = 3548722544640.

The previous prime is 13009045367789. The next prime is 13009045367809. The reversal of 13009045367808 is 80876354090031.

13009045367808 is a `hidden beast` number, since 1 + 30 + 0 + 9 + 0 + 4 + 536 + 78 + 0 + 8 = 666.

It is a super-2 number, since 2×13009045367808² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13009045367809) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9953362291 + ... + 9953363597.

It is an arithmetic number, because the mean of its divisors is an integer number (35813918976).

Almost surely, 2^{13009045367808} is an apocalyptic number.

13009045367808 is a gapful number since it is divisible by the number (18) 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 13009045367808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637186524160).

13009045367808 is an abundant number, since it is smaller than the sum of its proper divisors (34265327680512).

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

13009045367808 is a wasteful number, since it uses less digits than its factorization.

13009045367808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13009045367808 in words is "thirteen trillion, nine billion, forty-five million, three hundred sixty-seven thousand, eight hundred eight".