49971637559844 has 1215 divisors, whose sum is σ = 176674218997185. Its totient is φ = 11869237860480.

The previous prime is 49971637559743. The next prime is 49971637559957. The reversal of 49971637559844 is 44895573617994.

The square root of 49971637559844 is 7069062.

It is a perfect power (a square), and thus also a powerful number.

49971637559844 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 16 + 3 + 7 + 5 + 598 + 4 + 4 = 666.

49971637559844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7392254076900 + 42579383482944 = 2718870^2 + 6525288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 467024650039 + ... + 467024650145.

Almost surely, 2^{49971637559844} is an apocalyptic number.

49971637559844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

49971637559844 is the 7069062-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49971637559844

49971637559844 is an abundant number, since it is smaller than the sum of its proper divisors (126702581437341).

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

49971637559844 is a wasteful number, since it uses less digits than its factorization.

49971637559844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 143 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 81.

The spelling of 49971637559844 in words is "forty-nine trillion, nine hundred seventy-one billion, six hundred thirty-seven million, five hundred fifty-nine thousand, eight hundred forty-four".