37127117414461 has 2 divisors, whose sum is σ = 37127117414462. Its totient is φ = 37127117414460.

The previous prime is 37127117414389. The next prime is 37127117414473. The reversal of 37127117414461 is 16441471172173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27970411154436 + 9156706260025 = 5288706^2 + 3026005^2 .

It is a cyclic number.

It is not a de Polignac number, because 37127117414461 - 2⁷ = 37127117414333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37127117414561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18563558707230 + 18563558707231.

It is an arithmetic number, because the mean of its divisors is an integer number (18563558707231).

Almost surely, 2^{37127117414461} is an apocalyptic number.

It is an amenable number.

37127117414461 is a deficient number, since it is larger than the sum of its proper divisors (1).

37127117414461 is an equidigital number, since it uses as much as digits as its factorization.

37127117414461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 790272, while the sum is 49.

The spelling of 37127117414461 in words is "thirty-seven trillion, one hundred twenty-seven billion, one hundred seventeen million, four hundred fourteen thousand, four hundred sixty-one".