49761614448 has 360 divisors, whose sum is σ = 175263584496. Its totient is φ = 13063680000.

The previous prime is 49761614437. The next prime is 49761614467. The reversal of 49761614448 is 84441616794.

49761614448 is a `hidden beast` number, since 4 + 9 + 7 + 616 + 14 + 4 + 4 + 8 = 666.

49761614448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 49761614394 and 49761614403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22105323 + ... + 22107573.

Almost surely, 2^49761614448 is an apocalyptic number.

49761614448 is a gapful number since it is divisible by the number (48) 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 49761614448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87631792248).

49761614448 is an abundant number, since it is smaller than the sum of its proper divisors (125501970048).

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

49761614448 is a wasteful number, since it uses less digits than its factorization.

49761614448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2517 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 49761614448 in words is "forty-nine billion, seven hundred sixty-one million, six hundred fourteen thousand, four hundred forty-eight".