49683045600 has 288 divisors, whose sum is σ = 184072906080. Its totient is φ = 12925440000.

The previous prime is 49683045557. The next prime is 49683045617. The reversal of 49683045600 is 654038694.

49683045600 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 30 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 857550 + ... + 913650.

It is an arithmetic number, because the mean of its divisors is an integer number (639142035).

Almost surely, 2^49683045600 is an apocalyptic number.

49683045600 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 49683045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92036453040).

49683045600 is an abundant number, since it is smaller than the sum of its proper divisors (134389860480).

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

49683045600 is a wasteful number, since it uses less digits than its factorization.

49683045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56171 (or 56152 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 49683045600 in words is "forty-nine billion, six hundred eighty-three million, forty-five thousand, six hundred".