13871408620356 has 567 divisors, whose sum is σ = 43327159364559. Its totient is φ = 3872755859616.

The previous prime is 13871408620351. The next prime is 13871408620367. The reversal of 13871408620356 is 65302680417831.

The square root of 13871408620356 is 3724434.

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

13871408620356 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 1 + 4 + 0 + 8 + 620 + 3 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-2 number, since 2×13871408620356² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13871408620351) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 83062326985 + ... + 83062327151.

Almost surely, 2^{13871408620356} is an apocalyptic number.

13871408620356 is the 3724434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13871408620356

13871408620356 is an abundant number, since it is smaller than the sum of its proper divisors (29455750744203).

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

13871408620356 is an frugal number, since it uses more digits than its factorization.

13871408620356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13871408620356 in words is "thirteen trillion, eight hundred seventy-one billion, four hundred eight million, six hundred twenty thousand, three hundred fifty-six".