48197811600 has 135 divisors (see below), whose sum is σ = 167305518913. Its totient is φ = 12849237120.

The previous prime is 48197811593. The next prime is 48197811601. The reversal of 48197811600 is 611879184.

It is a happy number.

The square root of 48197811600 is 219540.

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

48197811600 is a `hidden beast` number, since 481 + 9 + 7 + 8 + 1 + 160 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17351212176 + 30846599424 = 131724^2 + 175632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48197811601) 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, 13170571 + ... + 13174229.

Almost surely, 2^48197811600 is an apocalyptic number.

48197811600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48197811600 is the 219540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48197811600

48197811600 is an abundant number, since it is smaller than the sum of its proper divisors (119107707313).

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

48197811600 is an equidigital number, since it uses as much as digits as its factorization.

48197811600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 48197811600 in words is "forty-eight billion, one hundred ninety-seven million, eight hundred eleven thousand, six hundred".