47286677025 has 243 divisors, whose sum is σ = 104944644441. Its totient is φ = 20291160960.

The previous prime is 47286677003. The next prime is 47286677041. The reversal of 47286677025 is 52077668274.

The square root of 47286677025 is 217455.

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

47286677025 is a `hidden beast` number, since 472 + 86 + 6 + 7 + 70 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173369889 + 47113307136 = 13167^2 + 217056^2 .

It is not a de Polignac number, because 47286677025 - 2¹¹ = 47286674977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 433822671 + ... + 433822779.

Almost surely, 2^47286677025 is an apocalyptic number.

47286677025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47286677025 is the 217455-th square number.

47286677025 is the 108728-th centered octagonal number.

It is an amenable number.

47286677025 is an abundant number, since it is smaller than the sum of its proper divisors (57657967416).

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

47286677025 is a wasteful number, since it uses less digits than its factorization.

47286677025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 47286677025 in words is "forty-seven billion, two hundred eighty-six million, six hundred seventy-seven thousand, twenty-five".