48717318400 has 243 divisors, whose sum is σ = 126013935243. Its totient is φ = 18646425600.

The previous prime is 48717318361. The next prime is 48717318401. The reversal of 48717318400 is 481371784.

The square root of 48717318400 is 220720.

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 10138073344 + 38579245056 = 100688^2 + 196416^2 .

It is a super-2 number, since 2×48717318400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48717318401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 547385556 + ... + 547385644.

Almost surely, 2^48717318400 is an apocalyptic number.

48717318400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48717318400 is the 220720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48717318400

48717318400 is an abundant number, since it is smaller than the sum of its proper divisors (77296616843).

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

48717318400 is an frugal number, since it uses more digits than its factorization.

48717318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 48717318400 in words is "forty-eight billion, seven hundred seventeen million, three hundred eighteen thousand, four hundred".