4534481952 has 768 divisors, whose sum is σ = 18289152000. Its totient is φ = 1077027840.

The previous prime is 4534481951. The next prime is 4534481969. The reversal of 4534481952 is 2591844354.

4534481952 is a `hidden beast` number, since 453 + 4 + 4 + 8 + 195 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4534481898 and 4534481907.

It is not an unprimeable number, because it can be changed into a prime (4534481951) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42378283 + ... + 42378389.

It is an arithmetic number, because the mean of its divisors is an integer number (23814000).

Almost surely, 2^4534481952 is an apocalyptic number.

4534481952 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 4534481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576000).

4534481952 is an abundant number, since it is smaller than the sum of its proper divisors (13754670048).

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

4534481952 is a wasteful number, since it uses less digits than its factorization.

4534481952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 4534481952 is about 67338.5621468115. The cubic root of 4534481952 is about 1655.1698212330.

The spelling of 4534481952 in words is "four billion, five hundred thirty-four million, four hundred eighty-one thousand, nine hundred fifty-two".