452514020416002 has 160 divisors (see below), whose sum is σ = 1031375011962240. Its totient is φ = 148271755564800.

The previous prime is 452514020415973. The next prime is 452514020416141. The reversal of 452514020416002 is 200614020415254.

452514020416002 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 1 + 4 + 0 + 2 + 0 + 41 + 600 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2541567699 + ... + 2541745737.

It is an arithmetic number, because the mean of its divisors is an integer number (6446093824764).

Almost surely, 2^{452514020416002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452514020416002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515687505981120).

452514020416002 is an abundant number, since it is smaller than the sum of its proper divisors (578860991546238).

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

452514020416002 is a wasteful number, since it uses less digits than its factorization.

452514020416002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179270 (or 179261 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 452514020416002 in words is "four hundred fifty-two trillion, five hundred fourteen billion, twenty million, four hundred sixteen thousand, two".