4516144542 has 288 divisors, whose sum is σ = 13185768960. Its totient is φ = 1084752000.

The previous prime is 4516144541. The next prime is 4516144543. The reversal of 4516144542 is 2454416154.

4516144542 is a `hidden beast` number, since 4 + 51 + 61 + 4 + 4 + 542 = 666.

It is an interprime number because it is at equal distance from previous prime (4516144541) and next prime (4516144543).

It is a junction number, because it is equal to n+sod(n) for n = 4516144497 and 4516144506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516144541) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29908167 + ... + 29908317.

It is an arithmetic number, because the mean of its divisors is an integer number (45783920).

Almost surely, 2^4516144542 is an apocalyptic number.

4516144542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4516144542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592884480).

4516144542 is an abundant number, since it is smaller than the sum of its proper divisors (8669624418).

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

4516144542 is a wasteful number, since it uses less digits than its factorization.

4516144542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 226 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 4516144542 is about 67202.2658992984. The cubic root of 4516144542 is about 1652.9356421947.

The spelling of 4516144542 in words is "four billion, five hundred sixteen million, one hundred forty-four thousand, five hundred forty-two".