48944179200 has 576 divisors, whose sum is σ = 188894160000. Its totient is φ = 11175198720.

The previous prime is 48944179127. The next prime is 48944179201. The reversal of 48944179200 is 297144984.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48944179200.

It is not an unprimeable number, because it can be changed into a prime (48944179201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52684336 + ... + 52685264.

It is an arithmetic number, because the mean of its divisors is an integer number (327941250).

Almost surely, 2^48944179200 is an apocalyptic number.

48944179200 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 48944179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080000).

48944179200 is an abundant number, since it is smaller than the sum of its proper divisors (139949980800).

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

48944179200 is an equidigital number, since it uses as much as digits as its factorization.

48944179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 48944179200 in words is "forty-eight billion, nine hundred forty-four million, one hundred seventy-nine thousand, two hundred".