49000056000016 has 135 divisors (see below), whose sum is σ = 109103029144333. Its totient is φ = 21301292172160.

The previous prime is 49000055999989. The next prime is 49000056000041. The reversal of 49000056000016 is 61000065000094.

The square root of 49000056000016 is 7000004.

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

It can be written as a sum of positive squares in only one way, i.e., 31716945968400 + 17283110031616 = 5631780^2 + 4157296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7084000590 + ... + 7084007506.

Almost surely, 2^{49000056000016} is an apocalyptic number.

49000056000016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

49000056000016 is the 7000004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49000056000016

49000056000016 is an abundant number, since it is smaller than the sum of its proper divisors (60102973144317).

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

49000056000016 is an frugal number, since it uses more digits than its factorization.

49000056000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13910 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 49000056000016 in words is "forty-nine trillion, fifty-six million, sixteen", and thus it is an aban number and an uban number.