47833626681 has 45 divisors (see below), whose sum is σ = 75472915221. Its totient is φ = 30187091016.

The previous prime is 47833626641. The next prime is 47833626683. The reversal of 47833626681 is 18662633874.

The square root of 47833626681 is 218709.

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

47833626681 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 3 + 626 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 47833626681 - 2³¹ = 45686143033 is a prime.

It is a super-2 number, since 2×47833626681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47833626683) 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 44 ways as a sum of consecutive naturals, for example, 37398600 + ... + 37399878.

Almost surely, 2^47833626681 is an apocalyptic number.

47833626681 is the 218709-th square number.

47833626681 is the 109355-th centered octagonal number.

It is an amenable number.

47833626681 is a deficient number, since it is larger than the sum of its proper divisors (27639288540).

47833626681 is an frugal number, since it uses more digits than its factorization.

47833626681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 1301 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 47833626681 in words is "forty-seven billion, eight hundred thirty-three million, six hundred twenty-six thousand, six hundred eighty-one".