13474260390528 has 768 divisors, whose sum is σ = 48254451148800. Its totient is φ = 3520499023872.

The previous prime is 13474260390523. The next prime is 13474260390559. The reversal of 13474260390528 is 82509306247431.

13474260390528 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 4 + 2 + 603 + 9 + 0 + 5 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (13474260390523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4955592753 + ... + 4955595471.

It is an arithmetic number, because the mean of its divisors is an integer number (62831316600).

It is a 1-persistent number, because it is pandigital, but 2⋅13474260390528 = 26948520781056 is not.

Almost surely, 2^{13474260390528} is an apocalyptic number.

13474260390528 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 13474260390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24127225574400).

13474260390528 is an abundant number, since it is smaller than the sum of its proper divisors (34780190758272).

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

13474260390528 is a wasteful number, since it uses less digits than its factorization.

13474260390528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 13474260390528 in words is "thirteen trillion, four hundred seventy-four billion, two hundred sixty million, three hundred ninety thousand, five hundred twenty-eight".