37345406367557 has 2 divisors, whose sum is σ = 37345406367558. Its totient is φ = 37345406367556.

The previous prime is 37345406367553. The next prime is 37345406367559. The reversal of 37345406367557 is 75576360454373.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37312929281761 + 32477085796 = 6108431^2 + 180214^2 .

It is a cyclic number.

It is not a de Polignac number, because 37345406367557 - 2² = 37345406367553 is a prime.

Together with 37345406367559, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 37345406367493 and 37345406367502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37345406367553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18672703183778 + 18672703183779.

It is an arithmetic number, because the mean of its divisors is an integer number (18672703183779).

Almost surely, 2^{37345406367557} is an apocalyptic number.

It is an amenable number.

37345406367557 is a deficient number, since it is larger than the sum of its proper divisors (1).

37345406367557 is an equidigital number, since it uses as much as digits as its factorization.

37345406367557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 666792000, while the sum is 65.

The spelling of 37345406367557 in words is "thirty-seven trillion, three hundred forty-five billion, four hundred six million, three hundred sixty-seven thousand, five hundred fifty-seven".