49836294144 has 512 divisors, whose sum is σ = 182030016000. Its totient is φ = 13122404352.

The previous prime is 49836294107. The next prime is 49836294149. The reversal of 49836294144 is 44149263894.

49836294144 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 629 + 4 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49836294149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80510667 + ... + 80511285.

It is an arithmetic number, because the mean of its divisors is an integer number (355527375).

Almost surely, 2^49836294144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49836294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91015008000).

49836294144 is an abundant number, since it is smaller than the sum of its proper divisors (132193721856).

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

49836294144 is an equidigital number, since it uses as much as digits as its factorization.

49836294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 644 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 49836294144 in words is "forty-nine billion, eight hundred thirty-six million, two hundred ninety-four thousand, one hundred forty-four".