5196468144 has 160 divisors (see below), whose sum is σ = 15797846016. Its totient is φ = 1441117440.

The previous prime is 5196468143. The next prime is 5196468181. The reversal of 5196468144 is 4418646915.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5196468093 and 5196468102.

It is not an unprimeable number, because it can be changed into a prime (5196468143) 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, 2004289 + ... + 2006879.

Almost surely, 2^5196468144 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 5196468144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898923008).

5196468144 is an abundant number, since it is smaller than the sum of its proper divisors (10601377872).

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

5196468144 is a wasteful number, since it uses less digits than its factorization.

5196468144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2777 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 5196468144 is about 72086.5323344104. The cubic root of 5196468144 is about 1732.0858870021.

The spelling of 5196468144 in words is "five billion, one hundred ninety-six million, four hundred sixty-eight thousand, one hundred forty-four".