452728380529152 has 2560 divisors, whose sum is σ = 1732787441172480. Its totient is φ = 114934107340800.

The previous prime is 452728380529111. The next prime is 452728380529171. The reversal of 452728380529152 is 251925083827254.

452728380529152 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 28 + 3 + 80 + 529 + 1 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 452728380529152.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1045562079528 + ... + 1045562079960.

It is an arithmetic number, because the mean of its divisors is an integer number (676870094208).

Almost surely, 2^{452728380529152} is an apocalyptic number.

452728380529152 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 452728380529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866393720586240).

452728380529152 is an abundant number, since it is smaller than the sum of its proper divisors (1280059060643328).

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

452728380529152 is an equidigital number, since it uses as much as digits as its factorization.

452728380529152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 452728380529152 in words is "four hundred fifty-two trillion, seven hundred twenty-eight billion, three hundred eighty million, five hundred twenty-nine thousand, one hundred fifty-two".