37408251947117 has 2 divisors, whose sum is σ = 37408251947118. Its totient is φ = 37408251947116.

The previous prime is 37408251947063. The next prime is 37408251947147. The reversal of 37408251947117 is 71174915280473.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25856757182116 + 11551494765001 = 5084954^2 + 3398749^2 .

It is an emirp because it is prime and its reverse (71174915280473) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37408251947117 - 2⁸ = 37408251946861 is a prime.

It is a super-2 number, since 2×37408251947117² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37408251947147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18704125973558 + 18704125973559.

It is an arithmetic number, because the mean of its divisors is an integer number (18704125973559).

Almost surely, 2^{37408251947117} is an apocalyptic number.

It is an amenable number.

37408251947117 is a deficient number, since it is larger than the sum of its proper divisors (1).

37408251947117 is an equidigital number, since it uses as much as digits as its factorization.

37408251947117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 59.

The spelling of 37408251947117 in words is "thirty-seven trillion, four hundred eight billion, two hundred fifty-one million, nine hundred forty-seven thousand, one hundred seventeen".