1336558961664 has 264 divisors, whose sum is σ = 4104256043160. Its totient is φ = 417470349312.

The previous prime is 1336558961609. The next prime is 1336558961677. The reversal of 1336558961664 is 4661698556331.

1336558961664 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 5 + 5 + 8 + 9 + 616 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1145345163264 + 191213798400 = 1070208^2 + 437280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35859262 + ... + 35896514.

Almost surely, 2^{1336558961664} 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 1336558961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052128021580).

1336558961664 is an abundant number, since it is smaller than the sum of its proper divisors (2767697081496).

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

1336558961664 is a wasteful number, since it uses less digits than its factorization.

1336558961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37525 (or 37504 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 1336558961664 in words is "one trillion, three hundred thirty-six billion, five hundred fifty-eight million, nine hundred sixty-one thousand, six hundred sixty-four".