57784467456 has 153 divisors (see below), whose sum is σ = 167466664209. Its totient is φ = 19199950848.

The previous prime is 57784467443. The next prime is 57784467487. The reversal of 57784467456 is 65476448775.

The square root of 57784467456 is 240384.

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

57784467456 is a `hidden beast` number, since 5 + 7 + 78 + 446 + 74 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 368640000 + 57415827456 = 19200^2 + 239616^2 .

It is a super-2 number, since 2×57784467456² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57784467393 and 57784467402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 184614756 + ... + 184615068.

Almost surely, 2^57784467456 is an apocalyptic number.

57784467456 is the 240384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57784467456

57784467456 is an abundant number, since it is smaller than the sum of its proper divisors (109682196753).

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

57784467456 is an frugal number, since it uses more digits than its factorization.

57784467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 318 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 57784467456 in words is "fifty-seven billion, seven hundred eighty-four million, four hundred sixty-seven thousand, four hundred fifty-six".