13013463794688 has 440 divisors, whose sum is σ = 45495592015104. Its totient is φ = 3627439718400.

The previous prime is 13013463794603. The next prime is 13013463794689. The reversal of 13013463794688 is 88649736431031.

It is a happy number.

13013463794688 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 463 + 7 + 94 + 6 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13013463794689) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23531593 + ... + 24078263.

Almost surely, 2^{13013463794688} is an apocalyptic number.

13013463794688 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 13013463794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22747796007552).

13013463794688 is an abundant number, since it is smaller than the sum of its proper divisors (32482128220416).

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

13013463794688 is an equidigital number, since it uses as much as digits as its factorization.

13013463794688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546751 (or 546724 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 13013463794688 in words is "thirteen trillion, thirteen billion, four hundred sixty-three million, seven hundred ninety-four thousand, six hundred eighty-eight".