49817856017664 has 864 divisors, whose sum is σ = 175984588348800. Its totient is φ = 13855443517440.

The previous prime is 49817856017651. The next prime is 49817856017701. The reversal of 49817856017664 is 46671065871894.

49817856017664 is a `hidden beast` number, since 4 + 9 + 8 + 1 + 7 + 8 + 5 + 601 + 7 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49817856017592 and 49817856017601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2004004467 + ... + 2004029325.

Almost surely, 2^{49817856017664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49817856017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87992294174400).

49817856017664 is an abundant number, since it is smaller than the sum of its proper divisors (126166732331136).

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

49817856017664 is a wasteful number, since it uses less digits than its factorization.

49817856017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25056 (or 25029 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 49817856017664 in words is "forty-nine trillion, eight hundred seventeen billion, eight hundred fifty-six million, seventeen thousand, six hundred sixty-four".