48212236800 has 1800 divisors, whose sum is σ = 226598645196. Its totient is φ = 10032906240.

The previous prime is 48212236783. The next prime is 48212236829. The reversal of 48212236800 is 863221284.

It can be written as a sum of positive squares in 6 ways, for example, as 10364868864 + 37847367936 = 101808^2 + 194544^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 660441564 + ... + 660441636.

Almost surely, 2^48212236800 is an apocalyptic number.

48212236800 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 48212236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113299322598).

48212236800 is an abundant number, since it is smaller than the sum of its proper divisors (178386408396).

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

48212236800 is a wasteful number, since it uses less digits than its factorization.

48212236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 48212236800 in words is "forty-eight billion, two hundred twelve million, two hundred thirty-six thousand, eight hundred".