452673005362560 has 896 divisors, whose sum is σ = 1636010778850560. Its totient is φ = 119711741460480.

The previous prime is 452673005362489. The next prime is 452673005362579. The reversal of 452673005362560 is 65263500376254.

452673005362560 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 7 + 3 + 0 + 0 + 5 + 3 + 625 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 452673005362497 and 452673005362506.

It is a congruent number.

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, 39628201009 + ... + 39628212431.

It is an arithmetic number, because the mean of its divisors is an integer number (1825904887110).

Almost surely, 2^{452673005362560} is an apocalyptic number.

452673005362560 is a gapful number since it is divisible by the number (40) 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 452673005362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818005389425280).

452673005362560 is an abundant number, since it is smaller than the sum of its proper divisors (1183337773488000).

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

452673005362560 is a wasteful number, since it uses less digits than its factorization.

452673005362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12158 (or 12131 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 452673005362560 in words is "four hundred fifty-two trillion, six hundred seventy-three billion, five million, three hundred sixty-two thousand, five hundred sixty".