57843691094016 has 255 divisors, whose sum is σ = 172868003519673. Its totient is φ = 19275389337600.

The previous prime is 57843691093949. The next prime is 57843691094027. The reversal of 57843691094016 is 61049019634875.

The square root of 57843691094016 is 7605504.

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

57843691094016 is a `hidden beast` number, since 5 + 78 + 436 + 91 + 0 + 9 + 40 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11959866556416 + 45883824537600 = 3458304^2 + 6773760^2 .

It is a super-3 number, since 3×57843691094016³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17523079566 + ... + 17523082866.

Almost surely, 2^{57843691094016} is an apocalyptic number.

57843691094016 is the 7605504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57843691094016

57843691094016 is an abundant number, since it is smaller than the sum of its proper divisors (115024312425657).

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

57843691094016 is an frugal number, since it uses more digits than its factorization.

57843691094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 57843691094016 in words is "fifty-seven trillion, eight hundred forty-three billion, six hundred ninety-one million, ninety-four thousand, sixteen".