49843123200 has 990 divisors, whose sum is σ = 203490227094. Its totient is φ = 11983749120.

The previous prime is 49843123139. The next prime is 49843123217. The reversal of 49843123200 is 232134894.

49843123200 is a `hidden beast` number, since 498 + 43 + 123 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 153363456 + 49689759744 = 12384^2 + 222912^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1159142379 + ... + 1159142421.

Almost surely, 2^49843123200 is an apocalyptic number.

49843123200 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 49843123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101745113547).

49843123200 is an abundant number, since it is smaller than the sum of its proper divisors (153647103894).

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

49843123200 is a wasteful number, since it uses less digits than its factorization.

49843123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 49843123200 in words is "forty-nine billion, eight hundred forty-three million, one hundred twenty-three thousand, two hundred".