49218401827584 has 1152 divisors, whose sum is σ = 164893125841920. Its totient is φ = 14534277120000.

The previous prime is 49218401827513. The next prime is 49218401827597. The reversal of 49218401827584 is 48572810481294.

49218401827584 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 8 + 40 + 1 + 8 + 2 + 7 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41675191474 + ... + 41675192654.

It is an arithmetic number, because the mean of its divisors is an integer number (143136393960).

Almost surely, 2^{49218401827584} is an apocalyptic number.

49218401827584 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 49218401827584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82446562920960).

49218401827584 is an abundant number, since it is smaller than the sum of its proper divisors (115674724014336).

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

49218401827584 is a wasteful number, since it uses less digits than its factorization.

49218401827584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 49218401827584 in words is "forty-nine trillion, two hundred eighteen billion, four hundred one million, eight hundred twenty-seven thousand, five hundred eighty-four".