49204124417256 has 128 divisors (see below), whose sum is σ = 131352477189120. Its totient is φ = 15322400400384.

The previous prime is 49204124417251. The next prime is 49204124417321. The reversal of 49204124417256 is 65271442140294.

49204124417256 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 = 49204124417199 and 49204124417208.

It is not an unprimeable number, because it can be changed into a prime (49204124417251) 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 31 ways as a sum of consecutive naturals, for example, 403142416 + ... + 403264448.

It is an arithmetic number, because the mean of its divisors is an integer number (1026191228040).

Almost surely, 2^{49204124417256} is an apocalyptic number.

49204124417256 is a gapful number since it is divisible by the number (46) 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 49204124417256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65676238594560).

49204124417256 is an abundant number, since it is smaller than the sum of its proper divisors (82148352771864).

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

49204124417256 is a wasteful number, since it uses less digits than its factorization.

49204124417256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139095 (or 139091 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 49204124417256 in words is "forty-nine trillion, two hundred four billion, one hundred twenty-four million, four hundred seventeen thousand, two hundred fifty-six".