48242392200 has 324 divisors, whose sum is σ = 168417333045. Its totient is φ = 12375100800.

The previous prime is 48242392129. The next prime is 48242392201. The reversal of 48242392200 is 229324284.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48242392200 is a `hidden beast` number, since 4 + 8 + 2 + 423 + 9 + 220 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47277544356 + 964847844 = 217434^2 + 31062^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=155310.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48242392201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 288876517 + ... + 288876683.

Almost surely, 2^48242392200 is an apocalyptic number.

48242392200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48242392200

48242392200 is an abundant number, since it is smaller than the sum of its proper divisors (120174940845).

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

48242392200 is a wasteful number, since it uses less digits than its factorization.

48242392200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 48242392200 in words is "forty-eight billion, two hundred forty-two million, three hundred ninety-two thousand, two hundred".