49534048767168 has 1260 divisors, whose sum is σ = 181515167520120. Its totient is φ = 13207597337088.

The previous prime is 49534048767143. The next prime is 49534048767191. The reversal of 49534048767168 is 86176784043594.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

49534048767168 is a `hidden beast` number, since 4 + 9 + 53 + 404 + 8 + 7 + 6 + 7 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 49534048767168 = 8094³ + 36594³ = 16378³ + 35606³.

It is a junction number, because it is equal to n+sod(n) for n = 49534048767096 and 49534048767105.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 739314160671 + ... + 739314160737.

It is an arithmetic number, because the mean of its divisors is an integer number (144059656762).

Almost surely, 2^{49534048767168} is an apocalyptic number.

49534048767168 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 49534048767168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90757583760060).

49534048767168 is an abundant number, since it is smaller than the sum of its proper divisors (131981118752952).

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

49534048767168 is an frugal number, since it uses more digits than its factorization.

49534048767168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 49534048767168 in words is "forty-nine trillion, five hundred thirty-four billion, forty-eight million, seven hundred sixty-seven thousand, one hundred sixty-eight".