46472580625 has 15 divisors (see below), whose sum is σ = 58078872093. Its totient is φ = 37173753000.

The previous prime is 46472580613. The next prime is 46472580667. The reversal of 46472580625 is 52608527464.

The square root of 46472580625 is 215575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3643450321 + 42829130304 = 60361^2 + 206952^2 .

It is not a de Polignac number, because 46472580625 - 2²¹ = 46470483473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5385064 + ... + 5393686.

Almost surely, 2^46472580625 is an apocalyptic number.

46472580625 is the 215575-th square number.

46472580625 is the 107788-th centered octagonal number.

It is an amenable number.

46472580625 is a deficient number, since it is larger than the sum of its proper divisors (11606291468).

46472580625 is an frugal number, since it uses more digits than its factorization.

46472580625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17266 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

Multiplying 46472580625 by its sum of digits (49), we get a square (2277156450625 = 1509025²).

The spelling of 46472580625 in words is "forty-six billion, four hundred seventy-two million, five hundred eighty thousand, six hundred twenty-five".