1363513948416 has 729 divisors, whose sum is σ = 4419975432691. Its totient is φ = 419697967104.

The previous prime is 1363513948393. The next prime is 1363513948417. The reversal of 1363513948416 is 6148493153631.

The square root of 1363513948416 is 1167696.

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

1363513948416 is a `hidden beast` number, since 1 + 36 + 3 + 513 + 9 + 4 + 84 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 341635574016 + 1021878374400 = 584496^2 + 1010880^2 .

It is a tau number, because it is divible by the number of its divisors (729).

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

It is a Duffinian number.

Its product of digits (5598720) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (1363513948417) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25726678246 + ... + 25726678298.

Almost surely, 2^{1363513948416} is an apocalyptic number.

1363513948416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1363513948416 is the 1167696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363513948416

1363513948416 is an abundant number, since it is smaller than the sum of its proper divisors (3056461484275).

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

1363513948416 is an frugal number, since it uses more digits than its factorization.

1363513948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 75 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1363513948416 in words is "one trillion, three hundred sixty-three billion, five hundred thirteen million, nine hundred forty-eight thousand, four hundred sixteen".