4284615132252 has 432 divisors, whose sum is σ = 14266038477600. Its totient is φ = 1073146475520.

The previous prime is 4284615132209. The next prime is 4284615132263. The reversal of 4284615132252 is 2522315164824.

4284615132252 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 61 + 513 + 22 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4284615132198 and 4284615132207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40513899 + ... + 40619517.

Almost surely, 2^{4284615132252} is an apocalyptic number.

4284615132252 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 4284615132252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133019238800).

4284615132252 is an abundant number, since it is smaller than the sum of its proper divisors (9981423345348).

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

4284615132252 is a wasteful number, since it uses less digits than its factorization.

4284615132252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105746 (or 105734 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 4284615132252 in words is "four trillion, two hundred eighty-four billion, six hundred fifteen million, one hundred thirty-two thousand, two hundred fifty-two".