49121888256 has 288 divisors, whose sum is σ = 169200420480. Its totient is φ = 13423804416.

The previous prime is 49121888219. The next prime is 49121888261. The reversal of 49121888256 is 65288812194.

49121888256 is a `hidden beast` number, since 491 + 21 + 8 + 8 + 82 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2959276 + ... + 2975828.

It is an arithmetic number, because the mean of its divisors is an integer number (587501460).

Almost surely, 2^49121888256 is an apocalyptic number.

49121888256 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 49121888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84600210240).

49121888256 is an abundant number, since it is smaller than the sum of its proper divisors (120078532224).

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

49121888256 is a wasteful number, since it uses less digits than its factorization.

49121888256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16611 (or 16588 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 49121888256 in words is "forty-nine billion, one hundred twenty-one million, eight hundred eighty-eight thousand, two hundred fifty-six".