5485117144 has 64 divisors (see below), whose sum is σ = 11694664800. Its totient is φ = 2390943744.

The previous prime is 5485117123. The next prime is 5485117237. The reversal of 5485117144 is 4417115845.

It is a super-3 number, since 3×5485117144³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5485117097 and 5485117106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661794 + ... + 670030.

Almost surely, 2^5485117144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5485117144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847332400).

5485117144 is an abundant number, since it is smaller than the sum of its proper divisors (6209547656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5485117144 is a wasteful number, since it uses less digits than its factorization.

5485117144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8608 counting only the distinct ones).

The product of its digits is 89600, while the sum is 40.

The square root of 5485117144 is about 74061.5767047934. The cubic root of 5485117144 is about 1763.5805576811.

The spelling of 5485117144 in words is "five billion, four hundred eighty-five million, one hundred seventeen thousand, one hundred forty-four".