5145948416 has 144 divisors (see below), whose sum is σ = 12833049600. Its totient is φ = 2008350720.

The previous prime is 5145948383. The next prime is 5145948421. The reversal of 5145948416 is 6148495415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941660 + ... + 947108.

It is an arithmetic number, because the mean of its divisors is an integer number (89118400).

Almost surely, 2^5145948416 is an apocalyptic number.

5145948416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416524800).

5145948416 is an abundant number, since it is smaller than the sum of its proper divisors (7687101184).

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

5145948416 is a wasteful number, since it uses less digits than its factorization.

5145948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5506 counting only the distinct ones).

The product of its digits is 691200, while the sum is 47.

The square root of 5145948416 is about 71735.2661945295. The cubic root of 5145948416 is about 1726.4545223843.

The spelling of 5145948416 in words is "five billion, one hundred forty-five million, nine hundred forty-eight thousand, four hundred sixteen".