49984900000000 has 729 divisors, whose sum is σ = 146530921558161. Its totient is φ = 16968000000000.

The previous prime is 49984899999989. The next prime is 49984900000069. The reversal of 49984900000000 is 948994.

The square root of 49984900000000 is 7070000.

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

It can be written as a sum of positive squares in 13 ways, for example, as 25915593021696 + 24069306978304 = 5090736^2 + 4906048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49984899999893 and 49984899999902.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 494899999950 + ... + 494900000050.

Almost surely, 2^{49984900000000} is an apocalyptic number.

49984900000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49984900000000 is the 7070000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49984900000000

49984900000000 is an abundant number, since it is smaller than the sum of its proper divisors (96546021558161).

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

49984900000000 is an frugal number, since it uses more digits than its factorization.

49984900000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

Adding to 49984900000000 its reverse (948994), we get a palindrome (49984900948994).

The spelling of 49984900000000 in words is "forty-nine trillion, nine hundred eighty-four billion, nine hundred million", and thus it is an aban number.