452127046275072 has 1456 divisors, whose sum is σ = 1647099828433152. Its totient is φ = 121082845593600.

The previous prime is 452127046275067. The next prime is 452127046275083. The reversal of 452127046275072 is 270572640721254.

452127046275072 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 2 + 7 + 0 + 4 + 627 + 5 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 91320346197 + ... + 91320351147.

Almost surely, 2^{452127046275072} is an apocalyptic number.

452127046275072 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 452127046275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823549914216576).

452127046275072 is an abundant number, since it is smaller than the sum of its proper divisors (1194972782158080).

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

452127046275072 is an equidigital number, since it uses as much as digits as its factorization.

452127046275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 452127046275072 in words is "four hundred fifty-two trillion, one hundred twenty-seven billion, forty-six million, two hundred seventy-five thousand, seventy-two".