49755740141184 has 256 divisors, whose sum is σ = 165142530432000. Its totient is φ = 12894782423040.

The previous prime is 49755740141161. The next prime is 49755740141189. The reversal of 49755740141184 is 48114104755794.

It is not an unprimeable number, because it can be changed into a prime (49755740141189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11402139 + ... + 15149925.

It is an arithmetic number, because the mean of its divisors is an integer number (645088009500).

Almost surely, 2^{49755740141184} is an apocalyptic number.

49755740141184 is a gapful number since it is divisible by the number (44) 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 49755740141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82571265216000).

49755740141184 is an abundant number, since it is smaller than the sum of its proper divisors (115386790290816).

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

49755740141184 is a wasteful number, since it uses less digits than its factorization.

49755740141184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748271 (or 3748259 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 49755740141184 in words is "forty-nine trillion, seven hundred fifty-five billion, seven hundred forty million, one hundred forty-one thousand, one hundred eighty-four".