1362085063056 has 225 divisors, whose sum is σ = 4190005783249. Its totient is φ = 427096723968.

The previous prime is 1362085063049. The next prime is 1362085063091. The reversal of 1362085063056 is 6503605802631.

The square root of 1362085063056 is 1167084.

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

1362085063056 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 0 + 8 + 5 + 0 + 630 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1060446848400 + 301638214656 = 1029780^2 + 549216^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 714254455 + ... + 714256361.

Almost surely, 2^{1362085063056} is an apocalyptic number.

1362085063056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1362085063056 is the 1167084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362085063056

1362085063056 is an abundant number, since it is smaller than the sum of its proper divisors (2827920720193).

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

1362085063056 is an frugal number, since it uses more digits than its factorization.

1362085063056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1362085063056 in words is "one trillion, three hundred sixty-two billion, eighty-five million, sixty-three thousand, fifty-six".