13272877346463 has 48 divisors (see below), whose sum is σ = 22875982076160. Its totient is φ = 7583808626352.

The previous prime is 13272877346381. The next prime is 13272877346483. The reversal of 13272877346463 is 36464377827231.

13272877346463 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 287 + 7 + 346 + 4 + 6 + 3 = 666.

13272877346463 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13272877346463 - 2¹⁴ = 13272877330079 is a prime.

It is a super-2 number, since 2×13272877346463² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13272877346463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13272877346483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14210206 + ... + 15115412.

It is an arithmetic number, because the mean of its divisors is an integer number (476582959920).

Almost surely, 2^{13272877346463} is an apocalyptic number.

13272877346463 is a deficient number, since it is larger than the sum of its proper divisors (9603104729697).

13272877346463 is a wasteful number, since it uses less digits than its factorization.

13272877346463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916313 (or 916300 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 63.

The spelling of 13272877346463 in words is "thirteen trillion, two hundred seventy-two billion, eight hundred seventy-seven million, three hundred forty-six thousand, four hundred sixty-three".