452630820096 has 864 divisors, whose sum is σ = 1711510597888. Its totient is φ = 116095057920.

The previous prime is 452630820023. The next prime is 452630820101. The reversal of 452630820096 is 690028036254.

452630820096 is a `hidden beast` number, since 4 + 5 + 2 + 630 + 8 + 2 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209453256 + ... + 209455416.

Almost surely, 2^452630820096 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 452630820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855755298944).

452630820096 is an abundant number, since it is smaller than the sum of its proper divisors (1258879777792).

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

452630820096 is a wasteful number, since it uses less digits than its factorization.

452630820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 452630820096 in words is "four hundred fifty-two billion, six hundred thirty million, eight hundred twenty thousand, ninety-six".