48848448038400 has 480 divisors, whose sum is σ = 181822959014400. Its totient is φ = 12842778009600.

The previous prime is 48848448038393. The next prime is 48848448038407. The reversal of 48848448038400 is 483084484884.

It is a happy number.

48848448038400 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 84 + 480 + 38 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48848448038393) and next prime (48848448038407).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48848448038407) 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 47 ways as a sum of consecutive naturals, for example, 23542221 + ... + 25532979.

It is an arithmetic number, because the mean of its divisors is an integer number (378797831280).

Almost surely, 2^{48848448038400} is an apocalyptic number.

48848448038400 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 48848448038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90911479507200).

48848448038400 is an abundant number, since it is smaller than the sum of its proper divisors (132974510976000).

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

48848448038400 is a wasteful number, since it uses less digits than its factorization.

48848448038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990867 (or 1990840 counting only the distinct ones).

The product of its (nonzero) digits is 100663296, while the sum is 63.

The spelling of 48848448038400 in words is "forty-eight trillion, eight hundred forty-eight billion, four hundred forty-eight million, thirty-eight thousand, four hundred".