541643009296 has 135 divisors (see below), whose sum is σ = 1137387585999. Its totient is φ = 249827395584.

The previous prime is 541643009269. The next prime is 541643009329. The reversal of 541643009296 is 692900346145.

The square root of 541643009296 is 735964.

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

It can be written as a sum of positive squares in 4 ways, for example, as 75754855696 + 465888153600 = 275236^2 + 682560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3953598540 + ... + 3953598676.

Almost surely, 2^541643009296 is an apocalyptic number.

541643009296 is the 735964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541643009296

541643009296 is an abundant number, since it is smaller than the sum of its proper divisors (595744576703).

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

541643009296 is an equidigital number, since it uses as much as digits as its factorization.

541643009296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 541643009296 by its sum of digits (49), we get a square (26540507455504 = 5151748²).

The spelling of 541643009296 in words is "five hundred forty-one billion, six hundred forty-three million, nine thousand, two hundred ninety-six".