47480905828321 has 81 divisors (see below), whose sum is σ = 58370149626579. Its totient is φ = 38507316236928.

The previous prime is 47480905828277. The next prime is 47480905828327. The reversal of 47480905828321 is 12382850908474.

It is a happy number.

The square root of 47480905828321 is 6890639.

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., 12803694150625 + 34677211677696 = 3578225^2 + 5888736^2 .

It is not a de Polignac number, because 47480905828321 - 2¹³ = 47480905820129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47480905828321.

It is not an unprimeable number, because it can be changed into a prime (47480905828327) 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, 140892895465 + ... + 140892895801.

Almost surely, 2^{47480905828321} is an apocalyptic number.

47480905828321 is the 6890639-th square number.

47480905828321 is the 3445320-th centered octagonal number.

It is an amenable number.

47480905828321 is a deficient number, since it is larger than the sum of its proper divisors (10889243798258).

47480905828321 is an frugal number, since it uses more digits than its factorization.

47480905828321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 47480905828321 in words is "forty-seven trillion, four hundred eighty billion, nine hundred five million, eight hundred twenty-eight thousand, three hundred twenty-one".