49138318517600 has 1152 divisors, whose sum is σ = 147042038707200. Its totient is φ = 15854557593600.

The previous prime is 49138318517597. The next prime is 49138318517653. The reversal of 49138318517600 is 671581383194.

It is a happy number.

It is a super-2 number, since 2×49138318517600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16583973719 + ... + 16583976681.

It is an arithmetic number, because the mean of its divisors is an integer number (127640658600).

Almost surely, 2^{49138318517600} is an apocalyptic number.

49138318517600 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 49138318517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73521019353600).

49138318517600 is an abundant number, since it is smaller than the sum of its proper divisors (97903720189600).

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

49138318517600 is a wasteful number, since it uses less digits than its factorization.

49138318517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 49138318517600 in words is "forty-nine trillion, one hundred thirty-eight billion, three hundred eighteen million, five hundred seventeen thousand, six hundred".