1362841438464 has 675 divisors, whose sum is σ = 4537807078035. Its totient is φ = 406818339840.

The previous prime is 1362841438417. The next prime is 1362841438477. The reversal of 1362841438464 is 4648341482631.

The square root of 1362841438464 is 1167408.

It is a perfect power (a square), and thus also a powerful number.

1362841438464 is a `hidden beast` number, since 1 + 3 + 62 + 84 + 1 + 43 + 8 + 464 = 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 1362841438464.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 20340916959 + ... + 20340917025.

Almost surely, 2^{1362841438464} is an apocalyptic number.

1362841438464 is the 1167408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362841438464

1362841438464 is an abundant number, since it is smaller than the sum of its proper divisors (3174965639571).

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

1362841438464 is an frugal number, since it uses more digits than its factorization.

1362841438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 83 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 1362841438464 in words is "one trillion, three hundred sixty-two billion, eight hundred forty-one million, four hundred thirty-eight thousand, four hundred sixty-four".