4657041948 has 144 divisors (see below), whose sum is σ = 12672223200. Its totient is φ = 1322520576.

The previous prime is 4657041941. The next prime is 4657041989. The reversal of 4657041948 is 8491407564.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4657041897 and 4657041906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657041941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388478 + ... + 2390426.

It is an arithmetic number, because the mean of its divisors is an integer number (88001550).

Almost surely, 2^4657041948 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 4657041948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336111600).

4657041948 is an abundant number, since it is smaller than the sum of its proper divisors (8015181252).

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

4657041948 is a wasteful number, since it uses less digits than its factorization.

4657041948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 4657041948 is about 68242.5230190092. The cubic root of 4657041948 is about 1669.9496737437.

The spelling of 4657041948 in words is "four billion, six hundred fifty-seven million, forty-one thousand, nine hundred forty-eight".