49467244216320 has 2448 divisors, whose sum is σ = 215459836525440. Its totient is φ = 10649786646528.

The previous prime is 49467244216283. The next prime is 49467244216331. The reversal of 49467244216320 is 2361244276494.

49467244216320 is a `hidden beast` number, since 4 + 9 + 4 + 67 + 2 + 44 + 216 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285937827754 + ... + 285937827926.

Almost surely, 2^{49467244216320} is an apocalyptic number.

49467244216320 is a gapful number since it is divisible by the number (40) 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 49467244216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107729918262720).

49467244216320 is an abundant number, since it is smaller than the sum of its proper divisors (165992592309120).

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

49467244216320 is an frugal number, since it uses more digits than its factorization.

49467244216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 49467244216320 in words is "forty-nine trillion, four hundred sixty-seven billion, two hundred forty-four million, two hundred sixteen thousand, three hundred twenty".