4531856160 has 384 divisors, whose sum is σ = 15966429696. Its totient is φ = 1073479680.

The previous prime is 4531856143. The next prime is 4531856171. The reversal of 4531856160 is 616581354.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 23481024 + ... + 23481216.

It is an arithmetic number, because the mean of its divisors is an integer number (41579244).

Almost surely, 2^4531856160 is an apocalyptic number.

4531856160 is a gapful number since it is divisible by the number (40) 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 4531856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983214848).

4531856160 is an abundant number, since it is smaller than the sum of its proper divisors (11434573536).

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

4531856160 is a wasteful number, since it uses less digits than its factorization.

4531856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 4531856160 is about 67319.0623820623. The cubic root of 4531856160 is about 1654.8502719880.

The spelling of 4531856160 in words is "four billion, five hundred thirty-one million, eight hundred fifty-six thousand, one hundred sixty".