13486537433664 has 672 divisors, whose sum is σ = 44376039751680. Its totient is φ = 4039445127168.

The previous prime is 13486537433659. The next prime is 13486537433669. The reversal of 13486537433664 is 46633473568431.

It is a happy number.

13486537433664 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 6 + 537 + 4 + 3 + 36 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (13486537433659) and next prime (13486537433669).

It is not an unprimeable number, because it can be changed into a prime (13486537433669) 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, 3764033217 + ... + 3764036799.

It is an arithmetic number, because the mean of its divisors is an integer number (66035773440).

Almost surely, 2^{13486537433664} 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 13486537433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22188019875840).

13486537433664 is an abundant number, since it is smaller than the sum of its proper divisors (30889502318016).

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

13486537433664 is a wasteful number, since it uses less digits than its factorization.

13486537433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4247 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 63.

The spelling of 13486537433664 in words is "thirteen trillion, four hundred eighty-six billion, five hundred thirty-seven million, four hundred thirty-three thousand, six hundred sixty-four".