48934776883200 has 1728 divisors, whose sum is σ = 188404741324800. Its totient is φ = 11163421900800.

The previous prime is 48934776883147. The next prime is 48934776883241. The reversal of 48934776883200 is 238867743984.

It is a super-2 number, since 2×48934776883200² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23180850145 + ... + 23180852255.

It is an arithmetic number, because the mean of its divisors is an integer number (109030521600).

Almost surely, 2^{48934776883200} is an apocalyptic number.

48934776883200 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 48934776883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94202370662400).

48934776883200 is an abundant number, since it is smaller than the sum of its proper divisors (139469964441600).

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

48934776883200 is a wasteful number, since it uses less digits than its factorization.

48934776883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 69.

The spelling of 48934776883200 in words is "forty-eight trillion, nine hundred thirty-four billion, seven hundred seventy-six million, eight hundred eighty-three thousand, two hundred".