452681605152 has 288 divisors, whose sum is σ = 1539227394432. Its totient is φ = 128191279104.

The previous prime is 452681605147. The next prime is 452681605153. The reversal of 452681605152 is 251506186254.

452681605152 is a `hidden beast` number, since 4 + 5 + 26 + 8 + 1 + 605 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 452681605098 and 452681605107.

It is not an unprimeable number, because it can be changed into a prime (452681605153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6114018 + ... + 6187614.

It is an arithmetic number, because the mean of its divisors is an integer number (5344539564).

Almost surely, 2^452681605152 is an apocalyptic number.

452681605152 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 452681605152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769613697216).

452681605152 is an abundant number, since it is smaller than the sum of its proper divisors (1086545789280).

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

452681605152 is a wasteful number, since it uses less digits than its factorization.

452681605152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73742 (or 73722 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 452681605152 in words is "four hundred fifty-two billion, six hundred eighty-one million, six hundred five thousand, one hundred fifty-two".