48991395600 has 1215 divisors, whose sum is σ = 217084701951. Its totient is φ = 10199347200.

The previous prime is 48991395577. The next prime is 48991395619. The reversal of 48991395600 is 659319984.

The square root of 48991395600 is 221340.

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

48991395600 is a `hidden beast` number, since 48 + 9 + 9 + 1 + 39 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1145957904 + 47845437696 = 33852^2 + 218736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1580367585 + ... + 1580367615.

Almost surely, 2^48991395600 is an apocalyptic number.

48991395600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48991395600 is the 221340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48991395600

48991395600 is an abundant number, since it is smaller than the sum of its proper divisors (168093306351).

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

48991395600 is a wasteful number, since it uses less digits than its factorization.

48991395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 48991395600 in words is "forty-eight billion, nine hundred ninety-one million, three hundred ninety-five thousand, six hundred".