13746772336896 has 81 divisors (see below), whose sum is σ = 39635846740399. Its totient is φ = 4582198123008.

The previous prime is 13746772336867. The next prime is 13746772336897. The reversal of 13746772336896 is 69863327764731.

The square root of 13746772336896 is 3707664.

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

13746772336896 is a `hidden beast` number, since 1 + 3 + 7 + 467 + 72 + 3 + 3 + 6 + 8 + 96 = 666.

It is a super-3 number, since 3×13746772336896³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13746772336897) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 177929251 + ... + 178006493.

Almost surely, 2^{13746772336896} is an apocalyptic number.

13746772336896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13746772336896 is the 3707664-th square number.

It is an amenable number.

13746772336896 is an abundant number, since it is smaller than the sum of its proper divisors (25889074403503).

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

13746772336896 is an frugal number, since it uses more digits than its factorization.

13746772336896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154508 (or 77248 counting only the distinct ones).

The product of its digits is 1152216576, while the sum is 72.

The spelling of 13746772336896 in words is "thirteen trillion, seven hundred forty-six billion, seven hundred seventy-two million, three hundred thirty-six thousand, eight hundred ninety-six".