13008466791936 has 2880 divisors, whose sum is σ = 52774347225600. Its totient is φ = 3121667112960.

The previous prime is 13008466791913. The next prime is 13008466792007. The reversal of 13008466791936 is 63919766480031.

13008466791936 is a `hidden beast` number, since 1 + 300 + 84 + 6 + 67 + 9 + 193 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 146162548180 + ... + 146162548268.

It is an arithmetic number, because the mean of its divisors is an integer number (18324426120).

Almost surely, 2^{13008466791936} is an apocalyptic number.

13008466791936 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 13008466791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26387173612800).

13008466791936 is an abundant number, since it is smaller than the sum of its proper divisors (39765880433664).

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

13008466791936 is an equidigital number, since it uses as much as digits as its factorization.

13008466791936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 13008466791936 in words is "thirteen trillion, eight billion, four hundred sixty-six million, seven hundred ninety-one thousand, nine hundred thirty-six".