48749177224800 has 2304 divisors, whose sum is σ = 203372245843200. Its totient is φ = 11181116620800.

The previous prime is 48749177224753. The next prime is 48749177224873. The reversal of 48749177224800 is 842277194784.

48749177224800 is a `hidden beast` number, since 4 + 8 + 74 + 9 + 17 + 72 + 2 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41277880210 + ... + 41277881390.

It is an arithmetic number, because the mean of its divisors is an integer number (88269203925).

Almost surely, 2^{48749177224800} is an apocalyptic number.

48749177224800 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 48749177224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101686122921600).

48749177224800 is an abundant number, since it is smaller than the sum of its proper divisors (154623068618400).

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

48749177224800 is a wasteful number, since it uses less digits than its factorization.

48749177224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 48749177224800 in words is "forty-eight trillion, seven hundred forty-nine billion, one hundred seventy-seven million, two hundred twenty-four thousand, eight hundred".