945117711549 has 64 divisors (see below), whose sum is σ = 1531129512960. Its totient is φ = 571425624000.

The previous prime is 945117711539. The next prime is 945117711553.

945117711549 is a `hidden beast` number, since 9 + 4 + 5 + 11 + 77 + 11 + 549 = 666.

945117711549 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-945117711549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 945117711495 and 945117711504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945117711539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264662934 + ... + 264666504.

It is an arithmetic number, because the mean of its divisors is an integer number (23923898640).

Almost surely, 2^945117711549 is an apocalyptic number.

945117711549 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

945117711549 is a deficient number, since it is larger than the sum of its proper divisors (586011801411).

945117711549 is a wasteful number, since it uses less digits than its factorization.

945117711549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5473 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 54.

The spelling of 945117711549 in words is "nine hundred forty-five billion, one hundred seventeen million, seven hundred eleven thousand, five hundred forty-nine".