452284605444672 has 896 divisors, whose sum is σ = 1787556270366720. Its totient is φ = 108299260846080.

The previous prime is 452284605444667. The next prime is 452284605444673. The reversal of 452284605444672 is 276444506482254.

452284605444672 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 8 + 46 + 0 + 544 + 46 + 7 + 2 = 666.

It is a super-2 number, since 2×452284605444672² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (452284605444673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1336910613 + ... + 1337248875.

It is an arithmetic number, because the mean of its divisors is an integer number (1995040480320).

Almost surely, 2^{452284605444672} is an apocalyptic number.

452284605444672 is a gapful number since it is divisible by the number (42) 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 452284605444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893778135183360).

452284605444672 is an abundant number, since it is smaller than the sum of its proper divisors (1335271664922048).

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

452284605444672 is a wasteful number, since it uses less digits than its factorization.

452284605444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339088 (or 339072 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 63.

The spelling of 452284605444672 in words is "four hundred fifty-two trillion, two hundred eighty-four billion, six hundred five million, four hundred forty-four thousand, six hundred seventy-two".