47938687945729 has 81 divisors (see below), whose sum is σ = 60046667398281. Its totient is φ = 38152780780800.

The previous prime is 47938687945721. The next prime is 47938687945747. The reversal of 47938687945729 is 92754978683974.

The square root of 47938687945729 is 6923777.

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 19936091050225 + 28002596895504 = 4464985^2 + 5291748^2 .

It is not a de Polignac number, because 47938687945729 - 2³ = 47938687945721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47938687945729.

It is not an unprimeable number, because it can be changed into a prime (47938687945721) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 68386145079 + ... + 68386145779.

Almost surely, 2^{47938687945729} is an apocalyptic number.

47938687945729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

47938687945729 is the 6923777-th square number.

47938687945729 is the 3461889-th centered octagonal number.

It is an amenable number.

47938687945729 is a deficient number, since it is larger than the sum of its proper divisors (12107979452552).

47938687945729 is an frugal number, since it uses more digits than its factorization.

47938687945729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 808 counting only the distinct ones).

The product of its digits is 46088663040, while the sum is 88.

The spelling of 47938687945729 in words is "forty-seven trillion, nine hundred thirty-eight billion, six hundred eighty-seven million, nine hundred forty-five thousand, seven hundred twenty-nine".