45171648767 has 32 divisors (see below), whose sum is σ = 55042944000. Its totient is φ = 36985110624.

The previous prime is 45171648751. The next prime is 45171648779. The reversal of 45171648767 is 76784617154.

45171648767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45171648767 - 2⁴ = 45171648751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45171348767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6536528 + ... + 6543434.

It is an arithmetic number, because the mean of its divisors is an integer number (1720092000).

Almost surely, 2^45171648767 is an apocalyptic number.

45171648767 is a deficient number, since it is larger than the sum of its proper divisors (9871295233).

45171648767 is an equidigital number, since it uses as much as digits as its factorization.

45171648767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780 (or 7766 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 56.

The spelling of 45171648767 in words is "forty-five billion, one hundred seventy-one million, six hundred forty-eight thousand, seven hundred sixty-seven".