4515581952 has 416 divisors, whose sum is σ = 16146099200. Its totient is φ = 1218281472.

The previous prime is 4515581911. The next prime is 4515581957. The reversal of 4515581952 is 2591855154.

4515581952 is a `hidden beast` number, since 4 + 5 + 1 + 558 + 1 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4515581898 and 4515581907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4515581957) 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, 14708583 + ... + 14708889.

Almost surely, 2^4515581952 is an apocalyptic number.

4515581952 is a gapful number since it is divisible by the number (42) 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 4515581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073049600).

4515581952 is an abundant number, since it is smaller than the sum of its proper divisors (11630517248).

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

4515581952 is a wasteful number, since it uses less digits than its factorization.

4515581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its digits is 360000, while the sum is 45.

The square root of 4515581952 is about 67198.0799725706. The cubic root of 4515581952 is about 1652.8670022540.

The spelling of 4515581952 in words is "four billion, five hundred fifteen million, five hundred eighty-one thousand, nine hundred fifty-two".