4581652992 has 320 divisors, whose sum is σ = 14783053824. Its totient is φ = 1232732160.

The previous prime is 4581652991. The next prime is 4581653003. The reversal of 4581652992 is 2992561854.

It is not an unprimeable number, because it can be changed into a prime (4581652991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23987617 + ... + 23987807.

Almost surely, 2^4581652992 is an apocalyptic number.

4581652992 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 4581652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7391526912).

4581652992 is an abundant number, since it is smaller than the sum of its proper divisors (10201400832).

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

4581652992 is a wasteful number, since it uses less digits than its factorization.

4581652992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 4581652992 is about 67687.9087577685. The cubic root of 4581652992 is about 1660.8894676726.

The spelling of 4581652992 in words is "four billion, five hundred eighty-one million, six hundred fifty-two thousand, nine hundred ninety-two".