47982464401 has 9 divisors (see below), whose sum is σ = 48916711249. Its totient is φ = 47065744336.

The previous prime is 47982464389. The next prime is 47982464437. The reversal of 47982464401 is 10446428974.

The square root of 47982464401 is 219049.

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 10191104401 + 37791360000 = 100951^2 + 194400^2 .

It is not a de Polignac number, because 47982464401 - 2¹⁵ = 47982431633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47982464471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11607531 + ... + 11611663.

Almost surely, 2^47982464401 is an apocalyptic number.

47982464401 is the 219049-th square number.

47982464401 is the 109525-th centered octagonal number.

It is an amenable number.

47982464401 is a deficient number, since it is larger than the sum of its proper divisors (934246848).

47982464401 is an frugal number, since it uses more digits than its factorization.

47982464401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 47982464401 by its sum of digits (49), we get a square (2351140755649 = 1533343²).

The spelling of 47982464401 in words is "forty-seven billion, nine hundred eighty-two million, four hundred sixty-four thousand, four hundred one".