85345038377 has 2 divisors, whose sum is σ = 85345038378. Its totient is φ = 85345038376.

The previous prime is 85345038271. The next prime is 85345038431. The reversal of 85345038377 is 77383054358.

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., 84888318736 + 456719641 = 291356^2 + 21371^2 .

It is a cyclic number.

It is not a de Polignac number, because 85345038377 - 2¹⁸ = 85344776233 is a prime.

It is not a weakly prime, because it can be changed into another prime (85345034377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42672519188 + 42672519189.

It is an arithmetic number, because the mean of its divisors is an integer number (42672519189).

Almost surely, 2^85345038377 is an apocalyptic number.

It is an amenable number.

85345038377 is a deficient number, since it is larger than the sum of its proper divisors (1).

85345038377 is an equidigital number, since it uses as much as digits as its factorization.

85345038377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 85345038377 in words is "eighty-five billion, three hundred forty-five million, thirty-eight thousand, three hundred seventy-seven".