48406207906849 has 81 divisors (see below), whose sum is σ = 54761988974553. Its totient is φ = 42767989115904.

The previous prime is 48406207906831. The next prime is 48406207906853. The reversal of 48406207906849 is 94860970260484.

The square root of 48406207906849 is 6957457.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18260178415249 + 30146029491600 = 4273193^2 + 5490540^2 .

It is a de Polignac number, because none of the positive numbers 2^k-48406207906849 is a prime.

It is a super-2 number, since 2×48406207906849² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48406207906649) 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 80 ways as a sum of consecutive naturals, for example, 250809367297 + ... + 250809367489.

Almost surely, 2^{48406207906849} is an apocalyptic number.

48406207906849 is the 6957457-th square number.

48406207906849 is the 3478729-th centered octagonal number.

It is an amenable number.

48406207906849 is a deficient number, since it is larger than the sum of its proper divisors (6355781067704).

48406207906849 is an frugal number, since it uses more digits than its factorization.

48406207906849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 67.

The spelling of 48406207906849 in words is "forty-eight trillion, four hundred six billion, two hundred seven million, nine hundred six thousand, eight hundred forty-nine".