48668203587600 has 315 divisors, whose sum is σ = 175321413778413. Its totient is φ = 12977183041920.

The previous prime is 48668203587589. The next prime is 48668203587649. The reversal of 48668203587600 is 678530286684.

The square root of 48668203587600 is 6976260.

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

48668203587600 is a `hidden beast` number, since 48 + 6 + 6 + 8 + 2 + 0 + 3 + 587 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17520553291536 + 31147650296064 = 4185756^2 + 5581008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3767173941 + ... + 3767186859.

Almost surely, 2^{48668203587600} is an apocalyptic number.

48668203587600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48668203587600 is the 6976260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48668203587600

48668203587600 is an abundant number, since it is smaller than the sum of its proper divisors (126653210190813).

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

48668203587600 is an frugal number, since it uses more digits than its factorization.

48668203587600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25874 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 48668203587600 in words is "forty-eight trillion, six hundred sixty-eight billion, two hundred three million, five hundred eighty-seven thousand, six hundred".