49965472116768 has 96 divisors (see below), whose sum is σ = 143036502739200. Its totient is φ = 15179383904256.

The previous prime is 49965472116719. The next prime is 49965472116773. The reversal of 49965472116768 is 86761127456994.

49965472116768 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 49965472116768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253296573 + ... + 253493756.

It is an arithmetic number, because the mean of its divisors is an integer number (1489963570200).

Almost surely, 2^{49965472116768} is an apocalyptic number.

49965472116768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49965472116768 is an abundant number, since it is smaller than the sum of its proper divisors (93071030622432).

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

49965472116768 is a wasteful number, since it uses less digits than its factorization.

49965472116768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506790434 (or 506790426 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 75.

The spelling of 49965472116768 in words is "forty-nine trillion, nine hundred sixty-five billion, four hundred seventy-two million, one hundred sixteen thousand, seven hundred sixty-eight".