1338764656320 has 840 divisors, whose sum is σ = 5965933360464. Its totient is φ = 282461147136.

The previous prime is 1338764656289. The next prime is 1338764656321. The reversal of 1338764656320 is 236564678331.

1338764656320 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 76 + 4 + 6 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is not an unprimeable number, because it can be changed into a prime (1338764656321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16470499 + ... + 16551581.

Almost surely, 2^{1338764656320} is an apocalyptic number.

1338764656320 is a gapful number since it is divisible by the number (10) 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 1338764656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982966680232).

1338764656320 is an abundant number, since it is smaller than the sum of its proper divisors (4627168704144).

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

1338764656320 is a wasteful number, since it uses less digits than its factorization.

1338764656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81139 (or 81113 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 1338764656320 in words is "one trillion, three hundred thirty-eight billion, seven hundred sixty-four million, six hundred fifty-six thousand, three hundred twenty".