452221738390656 has 1152 divisors, whose sum is σ = 1537548790377600. Its totient is φ = 131502807023616.

The previous prime is 452221738390619. The next prime is 452221738390673. The reversal of 452221738390656 is 656093837122254.

452221738390656 is a `hidden beast` number, since 4 + 5 + 2 + 22 + 173 + 8 + 390 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×452221738390656² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 452221738390593 and 452221738390602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64081297080 + ... + 64081304136.

It is an arithmetic number, because the mean of its divisors is an integer number (1334677769425).

It is a 1-persistent number, because it is pandigital, but 2⋅452221738390656 = 904443476781312 is not.

Almost surely, 2^{452221738390656} 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 452221738390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768774395188800).

452221738390656 is an abundant number, since it is smaller than the sum of its proper divisors (1085327051986944).

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

452221738390656 is a wasteful number, since it uses less digits than its factorization.

452221738390656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 452221738390656 in words is "four hundred fifty-two trillion, two hundred twenty-one billion, seven hundred thirty-eight million, three hundred ninety thousand, six hundred fifty-six".