48894054400 has 117 divisors (see below), whose sum is σ = 121418166333. Its totient is φ = 19529318400.

The previous prime is 48894054367. The next prime is 48894054409. The reversal of 48894054400 is 445049884.

The square root of 48894054400 is 221120.

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., 17601859584 + 31292194816 = 132672^2 + 176896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48894054409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70758055 + ... + 70758745.

Almost surely, 2^48894054400 is an apocalyptic number.

48894054400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48894054400 is the 221120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48894054400

48894054400 is an abundant number, since it is smaller than the sum of its proper divisors (72524111933).

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

48894054400 is an frugal number, since it uses more digits than its factorization.

48894054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 48894054400 in words is "forty-eight billion, eight hundred ninety-four million, fifty-four thousand, four hundred".