48046348800 has 840 divisors, whose sum is σ = 188562960960. Its totient is φ = 12093235200.

The previous prime is 48046348793. The next prime is 48046348813. The reversal of 48046348800 is 884364084.

48046348800 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 634 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×48046348800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 177292665 + ... + 177292935.

Almost surely, 2^48046348800 is an apocalyptic number.

48046348800 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 48046348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94281480480).

48046348800 is an abundant number, since it is smaller than the sum of its proper divisors (140516612160).

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

48046348800 is an equidigital number, since it uses as much as digits as its factorization.

48046348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 48046348800 in words is "forty-eight billion, forty-six million, three hundred forty-eight thousand, eight hundred".