49266712417164 has 384 divisors, whose sum is σ = 139331279969280. Its totient is φ = 13372305408000.

The previous prime is 49266712417141. The next prime is 49266712417171. The reversal of 49266712417164 is 46171421766294.

49266712417164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49266712417098 and 49266712417107.

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 127 ways as a sum of consecutive naturals, for example, 12793223839 + ... + 12793227689.

It is an arithmetic number, because the mean of its divisors is an integer number (362841874920).

Almost surely, 2^{49266712417164} is an apocalyptic number.

49266712417164 is a gapful number since it is divisible by the number (44) 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 49266712417164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69665639984640).

49266712417164 is an abundant number, since it is smaller than the sum of its proper divisors (90064567552116).

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

49266712417164 is a wasteful number, since it uses less digits than its factorization.

49266712417164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6679 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 49266712417164 in words is "forty-nine trillion, two hundred sixty-six billion, seven hundred twelve million, four hundred seventeen thousand, one hundred sixty-four".