452472760889856 has 3200 divisors, whose sum is σ = 1678211773286400. Its totient is φ = 121674070425600.

The previous prime is 452472760889761. The next prime is 452472760889971. The reversal of 452472760889856 is 658988067274254.

452472760889856 is a `hidden beast` number, since 4 + 5 + 2 + 472 + 7 + 6 + 0 + 8 + 8 + 98 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5083963605460 + ... + 5083963605548.

It is an arithmetic number, because the mean of its divisors is an integer number (524441179152).

Almost surely, 2^{452472760889856} 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 452472760889856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839105886643200).

452472760889856 is an abundant number, since it is smaller than the sum of its proper divisors (1225739012396544).

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

452472760889856 is an frugal number, since it uses more digits than its factorization.

452472760889856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13005619200, while the sum is 81.

The spelling of 452472760889856 in words is "four hundred fifty-two trillion, four hundred seventy-two billion, seven hundred sixty million, eight hundred eighty-nine thousand, eight hundred fifty-six".