452962272096 has 288 divisors, whose sum is σ = 1411626031200. Its totient is φ = 143032739328.

The previous prime is 452962272083. The next prime is 452962272131. The reversal of 452962272096 is 690272269254.

452962272096 is a `hidden beast` number, since 4 + 5 + 2 + 9 + 622 + 7 + 2 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 25255260 + ... + 25273188.

It is an arithmetic number, because the mean of its divisors is an integer number (4901479275).

Almost surely, 2^452962272096 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 452962272096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705813015600).

452962272096 is an abundant number, since it is smaller than the sum of its proper divisors (958663759104).

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

452962272096 is an equidigital number, since it uses as much as digits as its factorization.

452962272096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17998 (or 17953 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 452962272096 in words is "four hundred fifty-two billion, nine hundred sixty-two million, two hundred seventy-two thousand, ninety-six".