4835016144 has 320 divisors, whose sum is σ = 16525926400. Its totient is φ = 1324657152.

The previous prime is 4835016079. The next prime is 4835016163. The reversal of 4835016144 is 4416105384.

4835016144 is a `hidden beast` number, since 4 + 8 + 3 + 501 + 6 + 144 = 666.

It is a super-2 number, since 2×4835016144² = 46754762225481257472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4835016099 and 4835016108.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8838879 + ... + 8839425.

It is an arithmetic number, because the mean of its divisors is an integer number (51643520).

Almost surely, 2^4835016144 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 4835016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262963200).

4835016144 is an abundant number, since it is smaller than the sum of its proper divisors (11690910256).

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

4835016144 is a wasteful number, since it uses less digits than its factorization.

4835016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4835016144 is about 69534.2803514928. The cubic root of 4835016144 is about 1690.9573073754.

The spelling of 4835016144 in words is "four billion, eight hundred thirty-five million, sixteen thousand, one hundred forty-four".