27462145601461 has 2 divisors, whose sum is σ = 27462145601462. Its totient is φ = 27462145601460.

The previous prime is 27462145601411. The next prime is 27462145601537. The reversal of 27462145601461 is 16410654126472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17439184800625 + 10022960800836 = 4176025^2 + 3165906^2 .

It is a cyclic number.

It is not a de Polignac number, because 27462145601461 - 2²⁷ = 27462011383733 is a prime.

It is a super-3 number, since 3×27462145601461³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27462145601411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13731072800730 + 13731072800731.

It is an arithmetic number, because the mean of its divisors is an integer number (13731072800731).

Almost surely, 2^{27462145601461} is an apocalyptic number.

It is an amenable number.

27462145601461 is a deficient number, since it is larger than the sum of its proper divisors (1).

27462145601461 is an equidigital number, since it uses as much as digits as its factorization.

27462145601461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 27462145601461 in words is "twenty-seven trillion, four hundred sixty-two billion, one hundred forty-five million, six hundred one thousand, four hundred sixty-one".