49726712448 has 768 divisors, whose sum is σ = 182695219200. Its totient is φ = 12656590848.

The previous prime is 49726712447. The next prime is 49726712479. The reversal of 49726712448 is 84421762794.

49726712448 is a `hidden beast` number, since 497 + 26 + 7 + 124 + 4 + 8 = 666.

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

Its product of digits (5419008) is a multiple of the sum of its prime divisors (294).

It is a junction number, because it is equal to n+sod(n) for n = 49726712394 and 49726712403.

It is not an unprimeable number, because it can be changed into a prime (49726712443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362968636 + ... + 362968772.

It is an arithmetic number, because the mean of its divisors is an integer number (237884400).

Almost surely, 2^49726712448 is an apocalyptic number.

49726712448 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 49726712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91347609600).

49726712448 is an abundant number, since it is smaller than the sum of its proper divisors (132968506752).

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

49726712448 is a wasteful number, since it uses less digits than its factorization.

49726712448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 49726712448 in words is "forty-nine billion, seven hundred twenty-six million, seven hundred twelve thousand, four hundred forty-eight".