13423762520064 has 768 divisors, whose sum is σ = 44011828224000. Its totient is φ = 4040788377600.

The previous prime is 13423762520053. The next prime is 13423762520099. The reversal of 13423762520064 is 46002526732431.

13423762520064 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 7 + 62 + 520 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5709808489 + ... + 5709810839.

It is an arithmetic number, because the mean of its divisors is an integer number (57307068000).

Almost surely, 2^{13423762520064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13423762520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22005914112000).

13423762520064 is an abundant number, since it is smaller than the sum of its proper divisors (30588065703936).

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

13423762520064 is an equidigital number, since it uses as much as digits as its factorization.

13423762520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 13423762520064 in words is "thirteen trillion, four hundred twenty-three billion, seven hundred sixty-two million, five hundred twenty thousand, sixty-four".