54223194049600 has 189 divisors, whose sum is σ = 140829334840767. Its totient is φ = 20545615964160.

The previous prime is 54223194049589. The next prime is 54223194049637. The reversal of 54223194049600 is 694049132245.

The square root of 54223194049600 is 7363640.

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 377654495296 + 53845539554304 = 614536^2 + 7337952^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 5596361556 + ... + 5596371244.

Almost surely, 2^{54223194049600} is an apocalyptic number.

54223194049600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54223194049600 is the 7363640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54223194049600

54223194049600 is an abundant number, since it is smaller than the sum of its proper divisors (86606140791167).

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

54223194049600 is an frugal number, since it uses more digits than its factorization.

54223194049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19438 (or 9715 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 54223194049600 in words is "fifty-four trillion, two hundred twenty-three billion, one hundred ninety-four million, forty-nine thousand, six hundred".