48379105449081 has 27 divisors (see below), whose sum is σ = 76811634695887. Its totient is φ = 29320530858960.

The previous prime is 48379105449041. The next prime is 48379105449089. The reversal of 48379105449081 is 18094450197384.

The square root of 48379105449081 is 6955509.

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

48379105449081 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 9 + 1 + 0 + 544 + 9 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5880649250025 + 42498456199056 = 2425005^2 + 6519084^2 .

It is not a de Polignac number, because 48379105449081 - 2⁷ = 48379105448953 is a prime.

It is a super-2 number, since 2×48379105449081² (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 (48379105449089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229426411 + ... + 229637183.

Almost surely, 2^{48379105449081} is an apocalyptic number.

48379105449081 is the 6955509-th square number.

48379105449081 is the 3477755-th centered octagonal number.

It is an amenable number.

48379105449081 is a deficient number, since it is larger than the sum of its proper divisors (28432529246806).

48379105449081 is an frugal number, since it uses more digits than its factorization.

48379105449081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421574 (or 210787 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 48379105449081 in words is "forty-eight trillion, three hundred seventy-nine billion, one hundred five million, four hundred forty-nine thousand, eighty-one".