13457613445444 has 81 divisors (see below), whose sum is σ = 27587992927383. Its totient is φ = 5727378960576.

The previous prime is 13457613445417. The next prime is 13457613445511. The reversal of 13457613445444 is 44454431675431.

The square root of 13457613445444 is 3668462.

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 430480332100 + 13027133113344 = 656110^2 + 3609312^2 .

It is a super-2 number, since 2×13457613445444² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8063278642 + ... + 8063280310.

Almost surely, 2^{13457613445444} is an apocalyptic number.

13457613445444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13457613445444 is the 3668462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13457613445444

13457613445444 is an abundant number, since it is smaller than the sum of its proper divisors (14130379481939).

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

13457613445444 is an frugal number, since it uses more digits than its factorization.

13457613445444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 1835 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 55.

The spelling of 13457613445444 in words is "thirteen trillion, four hundred fifty-seven billion, six hundred thirteen million, four hundred forty-five thousand, four hundred forty-four".