48647809382400 has 432 divisors, whose sum is σ = 176825199259800. Its totient is φ = 12779117936640.

The previous prime is 48647809382399. The next prime is 48647809382401. The reversal of 48647809382400 is 428390874684.

48647809382400 is a `hidden beast` number, since 4 + 8 + 64 + 7 + 8 + 0 + 93 + 82 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (48647809382399) and next prime (48647809382401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48647809382401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30085746 + ... + 31661454.

Almost surely, 2^{48647809382400} is an apocalyptic number.

48647809382400 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 48647809382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88412599629900).

48647809382400 is an abundant number, since it is smaller than the sum of its proper divisors (128177389877400).

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

48647809382400 is a wasteful number, since it uses less digits than its factorization.

48647809382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575814 (or 1575786 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 48647809382400 in words is "forty-eight trillion, six hundred forty-seven billion, eight hundred nine million, three hundred eighty-two thousand, four hundred".