49229377344 has 448 divisors, whose sum is σ = 175774502400. Its totient is φ = 13209993216.

The previous prime is 49229377333. The next prime is 49229377453. The reversal of 49229377344 is 44377392294.

49229377344 is a `hidden beast` number, since 4 + 9 + 2 + 293 + 7 + 7 + 344 = 666.

49229377344 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 (448).

It is a super-3 number, since 3×49229377344³ (a number of 33 digits) contains 333 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12977112 + ... + 12980904.

It is an arithmetic number, because the mean of its divisors is an integer number (392353800).

Almost surely, 2^49229377344 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 49229377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87887251200).

49229377344 is an abundant number, since it is smaller than the sum of its proper divisors (126545125056).

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

49229377344 is a wasteful number, since it uses less digits than its factorization.

49229377344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3871 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 49229377344 in words is "forty-nine billion, two hundred twenty-nine million, three hundred seventy-seven thousand, three hundred forty-four".