48113323315200 has 5616 divisors, whose sum is σ = 225453083829120. Its totient is φ = 10020166041600.

The previous prime is 48113323315199. The next prime is 48113323315207. The reversal of 48113323315200 is 251332331184.

48113323315200 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 332 + 3 + 315 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48113323315207) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1300360089582 + ... + 1300360089618.

Almost surely, 2^{48113323315200} is an apocalyptic number.

48113323315200 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 48113323315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112726541914560).

48113323315200 is an abundant number, since it is smaller than the sum of its proper divisors (177339760513920).

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

48113323315200 is a wasteful number, since it uses less digits than its factorization.

48113323315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 48113323315200 its reverse (251332331184), we get a palindrome (48364655646384).

The spelling of 48113323315200 in words is "forty-eight trillion, one hundred thirteen billion, three hundred twenty-three million, three hundred fifteen thousand, two hundred".