4521629952 has 180 divisors, whose sum is σ = 15409274496. Its totient is φ = 1291852800.

The previous prime is 4521629947. The next prime is 4521629963. The reversal of 4521629952 is 2599261254.

4521629952 is a `hidden beast` number, since 452 + 1 + 62 + 99 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4521629898 and 4521629907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129577 + ... + 160727.

Almost surely, 2^4521629952 is an apocalyptic number.

4521629952 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 4521629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704637248).

4521629952 is an abundant number, since it is smaller than the sum of its proper divisors (10887644544).

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

4521629952 is an equidigital number, since it uses as much as digits as its factorization.

4521629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31186 (or 31163 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 4521629952 is about 67243.0662001667. The cubic root of 4521629952 is about 1653.6046022694.

The spelling of 4521629952 in words is "four billion, five hundred twenty-one million, six hundred twenty-nine thousand, nine hundred fifty-two".