451648514304 has 405 divisors, whose sum is σ = 1462371349593. Its totient is φ = 138581673984.

The previous prime is 451648514299. The next prime is 451648514327. The reversal of 451648514304 is 403415846154.

The square root of 451648514304 is 672048.

It is a perfect power (a square), and thus also a powerful number.

451648514304 is a `hidden beast` number, since 4 + 5 + 164 + 8 + 51 + 430 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66811910400 + 384836603904 = 258480^2 + 620352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 451648514304.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1258073677 + ... + 1258074035.

Almost surely, 2^451648514304 is an apocalyptic number.

451648514304 is the 672048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451648514304

451648514304 is an abundant number, since it is smaller than the sum of its proper divisors (1010722835289).

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

451648514304 is an frugal number, since it uses more digits than its factorization.

451648514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 451648514304 in words is "four hundred fifty-one billion, six hundred forty-eight million, five hundred fourteen thousand, three hundred four".