49098049000000 has 2205 divisors, whose sum is σ = 169100168556543. Its totient is φ = 14126112000000.

The previous prime is 49098048999941. The next prime is 49098049000001. The reversal of 49098049000000 is 94089094.

The square root of 49098049000000 is 7007000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 23032858153536 + 26065190846464 = 4799256^2 + 5105408^2 .

It is not an unprimeable number, because it can be changed into a prime (49098049000001) by changing a digit.

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 314 ways as a sum of consecutive naturals, for example, 3776772999994 + ... + 3776773000006.

Almost surely, 2^{49098049000000} is an apocalyptic number.

49098049000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49098049000000 is the 7007000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49098049000000

49098049000000 is an abundant number, since it is smaller than the sum of its proper divisors (120002119556543).

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

49098049000000 is an frugal number, since it uses more digits than its factorization.

49098049000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 38 counting only the distinct ones).

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

The spelling of 49098049000000 in words is "forty-nine trillion, ninety-eight billion, forty-nine million", and thus it is an aban number and an uban number.