452105212608 has 336 divisors, whose sum is σ = 1547779276800. Its totient is φ = 129032870400.

The previous prime is 452105212589. The next prime is 452105212721. The reversal of 452105212608 is 806212501254.

452105212608 is a `hidden beast` number, since 4 + 5 + 21 + 0 + 5 + 21 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 97455153 + ... + 97459791.

Almost surely, 2^452105212608 is an apocalyptic number.

452105212608 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 452105212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773889638400).

452105212608 is an abundant number, since it is smaller than the sum of its proper divisors (1095674064192).

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

452105212608 is a wasteful number, since it uses less digits than its factorization.

452105212608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 452105212608 in words is "four hundred fifty-two billion, one hundred five million, two hundred twelve thousand, six hundred eight".