1336319921664 has 1600 divisors, whose sum is σ = 5263208966400. Its totient is φ = 331838373888.

The previous prime is 1336319921653. The next prime is 1336319921693. The reversal of 1336319921664 is 4661299136331.

It is a happy number.

1336319921664 is a `hidden beast` number, since 1 + 3 + 363 + 1 + 9 + 9 + 216 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1336319921664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8198281647 + ... + 8198281809.

It is an arithmetic number, because the mean of its divisors is an integer number (3289505604).

Almost surely, 2^{1336319921664} is an apocalyptic number.

1336319921664 is a gapful number since it is divisible by the number (14) 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 1336319921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631604483200).

1336319921664 is an abundant number, since it is smaller than the sum of its proper divisors (3926889044736).

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

1336319921664 is an equidigital number, since it uses as much as digits as its factorization.

1336319921664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 207 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 1336319921664 in words is "one trillion, three hundred thirty-six billion, three hundred nineteen million, nine hundred twenty-one thousand, six hundred sixty-four".