13016682642496 has 189 divisors, whose sum is σ = 28311670970271. Its totient is φ = 5935138320384.

The previous prime is 13016682642479. The next prime is 13016682642521. The reversal of 13016682642496 is 69424628661031.

The square root of 13016682642496 is 3607864.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9713594488896 + 3303088153600 = 3116664^2 + 1817440^2 .

It is a super-2 number, since 2×13016682642496² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13016682642496.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42399617575 + ... + 42399617881.

Almost surely, 2^{13016682642496} is an apocalyptic number.

13016682642496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13016682642496 is the 3607864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13016682642496

13016682642496 is an abundant number, since it is smaller than the sum of its proper divisors (15294988327775).

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

13016682642496 is an frugal number, since it uses more digits than its factorization.

13016682642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 13016682642496 in words is "thirteen trillion, sixteen billion, six hundred eighty-two million, six hundred forty-two thousand, four hundred ninety-six".