49240377753168 has 240 divisors, whose sum is σ = 151633344219840. Its totient is φ = 13720841164800.

The previous prime is 49240377753167. The next prime is 49240377753179. The reversal of 49240377753168 is 86135777304294.

49240377753168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49240377753168² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49240377753099 and 49240377753108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49240377753167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 286413538 + ... + 286585406.

It is an arithmetic number, because the mean of its divisors is an integer number (631805600916).

It is a 1-persistent number, because it is pandigital, but 2⋅49240377753168 = 98480755506336 is not.

Almost surely, 2^{49240377753168} is an apocalyptic number.

49240377753168 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 49240377753168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816672109920).

49240377753168 is an abundant number, since it is smaller than the sum of its proper divisors (102392966466672).

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

49240377753168 is a wasteful number, since it uses less digits than its factorization.

49240377753168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174906 (or 174893 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 66.

The spelling of 49240377753168 in words is "forty-nine trillion, two hundred forty billion, three hundred seventy-seven million, seven hundred fifty-three thousand, one hundred sixty-eight".