4516148736 has 320 divisors, whose sum is σ = 15450082560. Its totient is φ = 1287290880.

The previous prime is 4516148677. The next prime is 4516148771. The reversal of 4516148736 is 6378416154.

4516148736 is a `hidden beast` number, since 4 + 5 + 161 + 487 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4516148691 and 4516148700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584215 + ... + 2585961.

It is an arithmetic number, because the mean of its divisors is an integer number (48281508).

Almost surely, 2^4516148736 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 4516148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725041280).

4516148736 is an abundant number, since it is smaller than the sum of its proper divisors (10933933824).

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

4516148736 is a wasteful number, since it uses less digits than its factorization.

4516148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1780 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4516148736 is about 67202.2971035961. The cubic root of 4516148736 is about 1652.9361538708.

The spelling of 4516148736 in words is "four billion, five hundred sixteen million, one hundred forty-eight thousand, seven hundred thirty-six".