482194167566400 has 945 divisors, whose sum is σ = 1787575300515477. Its totient is φ = 127495246233600.

The previous prime is 482194167566341. The next prime is 482194167566401. The reversal of 482194167566400 is 4665761491284.

The square root of 482194167566400 is 21958920.

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

482194167566400 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 9 + 4 + 1 + 67 + 566 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 446357565734976 + 35836601831424 = 21127176^2 + 5986368^2 .

It is a super-2 number, since 2×482194167566400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (482194167566401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1430843227032 + ... + 1430843227368.

Almost surely, 2^{482194167566400} is an apocalyptic number.

482194167566400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

482194167566400 is the 21958920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482194167566400

482194167566400 is an abundant number, since it is smaller than the sum of its proper divisors (1305381132949077).

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

482194167566400 is an frugal number, since it uses more digits than its factorization.

482194167566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 482194167566400 in words is "four hundred eighty-two trillion, one hundred ninety-four billion, one hundred sixty-seven million, five hundred sixty-six thousand, four hundred".