54438222400 has 189 divisors, whose sum is σ = 141835216329. Its totient is φ = 20562024960.

The previous prime is 54438222383. The next prime is 54438222431. The reversal of 54438222400 is 422283445.

The square root of 54438222400 is 233320.

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

It can be written as a sum of positive squares in only one way, i.e., 19597760064 + 34840462336 = 139992^2 + 186656^2 .

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, 177323047 + ... + 177323353.

Almost surely, 2^54438222400 is an apocalyptic number.

54438222400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54438222400 is the 233320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54438222400

54438222400 is an abundant number, since it is smaller than the sum of its proper divisors (87396993929).

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

54438222400 is an equidigital number, since it uses as much as digits as its factorization.

54438222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 54438222400 in words is "fifty-four billion, four hundred thirty-eight million, two hundred twenty-two thousand, four hundred".