49914144 has 216 divisors, whose sum is σ = 172540368. Its totient is φ = 14152320.

The previous prime is 49914119. The next prime is 49914149. The reversal of 49914144 is 44141994.

It is a tau number, because it is divible by the number of its divisors (216).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 49914099 and 49914108.

It is not an unprimeable number, because it can be changed into a prime (49914149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380959 + ... + 381089.

It is an arithmetic number, because the mean of its divisors is an integer number (798798).

Almost surely, 2^49914144 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 49914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86270184).

49914144 is an abundant number, since it is smaller than the sum of its proper divisors (122626224).

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

49914144 is a wasteful number, since it uses less digits than its factorization.

49914144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 49914144 is about 7064.9942675136. The cubic root of 49914144 is about 368.1921649169.

The spelling of 49914144 in words is "forty-nine million, nine hundred fourteen thousand, one hundred forty-four".