452623329648 has 320 divisors, whose sum is σ = 1573660707840. Its totient is φ = 121595904000.

The previous prime is 452623329643. The next prime is 452623329649. The reversal of 452623329648 is 846923326254.

452623329648 is a `hidden beast` number, since 4 + 5 + 2 + 623 + 3 + 2 + 9 + 6 + 4 + 8 = 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 = 452623329594 and 452623329603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452623329643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61737343 + ... + 61744673.

It is an arithmetic number, because the mean of its divisors is an integer number (4917689712).

Almost surely, 2^452623329648 is an apocalyptic number.

452623329648 is a gapful number since it is divisible by the number (48) 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 452623329648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786830353920).

452623329648 is an abundant number, since it is smaller than the sum of its proper divisors (1121037378192).

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

452623329648 is a wasteful number, since it uses less digits than its factorization.

452623329648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8561 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 452623329648 in words is "four hundred fifty-two billion, six hundred twenty-three million, three hundred twenty-nine thousand, six hundred forty-eight".