49305618432000 has 3840 divisors, whose sum is σ = 226123127193600. Its totient is φ = 10345041100800.

The previous prime is 49305618431921. The next prime is 49305618432023. The reversal of 49305618432000 is 23481650394.

49305618432000 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 5 + 618 + 4 + 3 + 20 + 0 + 0 = 666.

49305618432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

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 (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 388233215937 + ... + 388233216063.

It is an arithmetic number, because the mean of its divisors is an integer number (58886231040).

Almost surely, 2^{49305618432000} is an apocalyptic number.

49305618432000 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 49305618432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113061563596800).

49305618432000 is an abundant number, since it is smaller than the sum of its proper divisors (176817508761600).

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

49305618432000 is a wasteful number, since it uses less digits than its factorization.

49305618432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 220 counting only the distinct ones).

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

The spelling of 49305618432000 in words is "forty-nine trillion, three hundred five billion, six hundred eighteen million, four hundred thirty-two thousand".