3648085945967 has 2 divisors, whose sum is σ = 3648085945968. Its totient is φ = 3648085945966.

The previous prime is 3648085945937. The next prime is 3648085945991. The reversal of 3648085945967 is 7695495808463.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3648085945967 - 2⁸ = 3648085945711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3648085945894 and 3648085945903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3648085945937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1824042972983 + 1824042972984.

It is an arithmetic number, because the mean of its divisors is an integer number (1824042972984).

Almost surely, 2^{3648085945967} is an apocalyptic number.

3648085945967 is a deficient number, since it is larger than the sum of its proper divisors (1).

3648085945967 is an equidigital number, since it uses as much as digits as its factorization.

3648085945967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1567641600, while the sum is 74.

The spelling of 3648085945967 in words is "three trillion, six hundred forty-eight billion, eighty-five million, nine hundred forty-five thousand, nine hundred sixty-seven".