46449472698225 has 405 divisors, whose sum is σ = 93594606574161. Its totient is φ = 22768838208000.

The previous prime is 46449472698173. The next prime is 46449472698229. The reversal of 46449472698225 is 52289627494464.

The square root of 46449472698225 is 6815385.

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

46449472698225 is a `hidden beast` number, since 4 + 6 + 4 + 49 + 472 + 6 + 98 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1086499776609 + 45362972921616 = 1042353^2 + 6735204^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 46449472698225 - 2⁴¹ = 44250449442673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46449472698229) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 307612401900 + ... + 307612402050.

Almost surely, 2^{46449472698225} is an apocalyptic number.

46449472698225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46449472698225 is the 6815385-th square number.

46449472698225 is the 3407693-rd centered octagonal number.

It is an amenable number.

46449472698225 is an abundant number, since it is smaller than the sum of its proper divisors (47145133875936).

46449472698225 is an equidigital number, since it uses as much as digits as its factorization.

46449472698225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 235 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 46449472698225 in words is "forty-six trillion, four hundred forty-nine billion, four hundred seventy-two million, six hundred ninety-eight thousand, two hundred twenty-five".