452033728399872 has 320 divisors, whose sum is σ = 1339903707816960. Its totient is φ = 150469458112512.

The previous prime is 452033728399871. The next prime is 452033728399949. The reversal of 452033728399872 is 278993827330254.

452033728399872 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 337 + 283 + 9 + 9 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×452033728399872² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 452033728399872.

It is not an unprimeable number, because it can be changed into a prime (452033728399871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32560227043 + ... + 32560240925.

It is an arithmetic number, because the mean of its divisors is an integer number (4187199086928).

Almost surely, 2^{452033728399872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452033728399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669951853908480).

452033728399872 is an abundant number, since it is smaller than the sum of its proper divisors (887869979417088).

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

452033728399872 is a wasteful number, since it uses less digits than its factorization.

452033728399872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17000 (or 16978 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 452033728399872 in words is "four hundred fifty-two trillion, thirty-three billion, seven hundred twenty-eight million, three hundred ninety-nine thousand, eight hundred seventy-two".