13454847567225 has 99 divisors (see below), whose sum is σ = 25034167406703. Its totient is φ = 7173541783440.

The previous prime is 13454847567211. The next prime is 13454847567257. The reversal of 13454847567225 is 52276574845431.

The square root of 13454847567225 is 3668085.

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

13454847567225 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 8 + 47 + 567 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4843745124201 + 8611102443024 = 2200851^2 + 2934468^2 .

It is not a de Polignac number, because 13454847567225 - 2²³ = 13454839178617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 4456721766 + ... + 4456724784.

Almost surely, 2^{13454847567225} is an apocalyptic number.

13454847567225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13454847567225 is the 3668085-th square number.

13454847567225 is the 1834043-rd centered octagonal number.

It is an amenable number.

13454847567225 is a deficient number, since it is larger than the sum of its proper divisors (11579319839478).

13454847567225 is an frugal number, since it uses more digits than its factorization.

13454847567225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078 (or 3027 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 63.

The spelling of 13454847567225 in words is "thirteen trillion, four hundred fifty-four billion, eight hundred forty-seven million, five hundred sixty-seven thousand, two hundred twenty-five".