47401562961 has 45 divisors (see below), whose sum is σ = 75272934891. Its totient is φ = 29721256128.

The previous prime is 47401562899. The next prime is 47401562963. The reversal of 47401562961 is 16926510474.

The square root of 47401562961 is 217719.

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

47401562961 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 15 + 629 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36904331025 + 10497231936 = 192105^2 + 102456^2 .

It is a de Polignac number, because none of the positive numbers 2^k-47401562961 is a prime.

It is a super-2 number, since 2×47401562961² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47401562963) 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, 33310296 + ... + 33311718.

Almost surely, 2^47401562961 is an apocalyptic number.

47401562961 is the 217719-th square number.

47401562961 is the 108860-th centered octagonal number.

It is an amenable number.

47401562961 is a deficient number, since it is larger than the sum of its proper divisors (27871371930).

47401562961 is an frugal number, since it uses more digits than its factorization.

47401562961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 47401562961 in words is "forty-seven billion, four hundred one million, five hundred sixty-two thousand, nine hundred sixty-one".