13764218720256 has 819 divisors, whose sum is σ = 43943947822749. Its totient is φ = 4308129939456.

The previous prime is 13764218720183. The next prime is 13764218720267. The reversal of 13764218720256 is 65202781246731.

The square root of 13764218720256 is 3710016.

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

13764218720256 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 421 + 8 + 7 + 202 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 242536550400 + 13521682169856 = 492480^2 + 3677184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 121807245256 + ... + 121807245368.

Almost surely, 2^{13764218720256} is an apocalyptic number.

13764218720256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13764218720256 is the 3710016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13764218720256

13764218720256 is an abundant number, since it is smaller than the sum of its proper divisors (30179729102493).

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

13764218720256 is an frugal number, since it uses more digits than its factorization.

13764218720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

Adding to 13764218720256 its reverse (65202781246731), we get a palindrome (78966999966987).

The spelling of 13764218720256 in words is "thirteen trillion, seven hundred sixty-four billion, two hundred eighteen million, seven hundred twenty thousand, two hundred fifty-six".