4522509635328 has 720 divisors, whose sum is σ = 14661366720000. Its totient is φ = 1381692432384.

The previous prime is 4522509635257. The next prime is 4522509635447. The reversal of 4522509635328 is 8235369052254.

It is a happy number.

4522509635328 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 509 + 63 + 53 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2900903413 + ... + 2900904971.

Almost surely, 2^{4522509635328} is an apocalyptic number.

4522509635328 is a gapful number since it is divisible by the number (48) 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 4522509635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330683360000).

4522509635328 is an abundant number, since it is smaller than the sum of its proper divisors (10138857084672).

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

4522509635328 is a wasteful number, since it uses less digits than its factorization.

4522509635328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 4522509635328 in words is "four trillion, five hundred twenty-two billion, five hundred nine million, six hundred thirty-five thousand, three hundred twenty-eight".