48049164800 has 720 divisors, whose sum is σ = 153056578752. Its totient is φ = 14811955200.

The previous prime is 48049164749. The next prime is 48049164817. The reversal of 48049164800 is 846194084.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 578905559 + ... + 578905641.

Almost surely, 2^48049164800 is an apocalyptic number.

48049164800 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 48049164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76528289376).

48049164800 is an abundant number, since it is smaller than the sum of its proper divisors (105007413952).

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

48049164800 is a wasteful number, since it uses less digits than its factorization.

48049164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 48049164800 in words is "forty-eight billion, forty-nine million, one hundred sixty-four thousand, eight hundred".