46317496225 has 243 divisors, whose sum is σ = 81412275609. Its totient is φ = 26032406400.

The previous prime is 46317496223. The next prime is 46317496243. The reversal of 46317496225 is 52269471364.

The square root of 46317496225 is 215215.

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 11938403169 + 34379093056 = 109263^2 + 185416^2 .

It is not a de Polignac number, because 46317496225 - 2¹ = 46317496223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (46317496223) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 1077151054 + ... + 1077151096.

Almost surely, 2^46317496225 is an apocalyptic number.

46317496225 is the 215215-th square number.

46317496225 is the 107608-th centered octagonal number.

It is an amenable number.

46317496225 is a deficient number, since it is larger than the sum of its proper divisors (35094779384).

46317496225 is a wasteful number, since it uses less digits than its factorization.

46317496225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

Multiplying 46317496225 by its sum of digits (49), we get a square (2269557315025 = 1506505²).

46317496225 divided by its sum of digits (49) gives a square (945255025 = 30745²).

The spelling of 46317496225 in words is "forty-six billion, three hundred seventeen million, four hundred ninety-six thousand, two hundred twenty-five".