4657557552 has 160 divisors (see below), whose sum is σ = 13172490240. Its totient is φ = 1412640000.

The previous prime is 4657557539. The next prime is 4657557559. The reversal of 4657557552 is 2557557564.

It is a junction number, because it is equal to n+sod(n) for n = 4657557495 and 4657557504.

It is not an unprimeable number, because it can be changed into a prime (4657557559) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4268527 + ... + 4269617.

It is an arithmetic number, because the mean of its divisors is an integer number (82328064).

Almost surely, 2^4657557552 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 4657557552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586245120).

4657557552 is an abundant number, since it is smaller than the sum of its proper divisors (8514932688).

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

4657557552 is a wasteful number, since it uses less digits than its factorization.

4657557552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its digits is 7350000, while the sum is 51.

The square root of 4657557552 is about 68246.3006469948. The cubic root of 4657557552 is about 1670.0113009144.

The spelling of 4657557552 in words is "four billion, six hundred fifty-seven million, five hundred fifty-seven thousand, five hundred fifty-two".