46597698225 has 243 divisors, whose sum is σ = 96191631939. Its totient is φ = 22380883200.

The previous prime is 46597698223. The next prime is 46597698247. The reversal of 46597698225 is 52289679564.

The square root of 46597698225 is 215865.

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

46597698225 is a `hidden beast` number, since 465 + 9 + 76 + 9 + 82 + 25 = 666.

46597698225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 42229017009 + 4368681216 = 205497^2 + 66096^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 46597698225 - 2¹ = 46597698223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46597698223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1136529205 + ... + 1136529245.

Almost surely, 2^46597698225 is an apocalyptic number.

46597698225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46597698225 is the 215865-th square number.

46597698225 is the 107933-rd centered octagonal number.

It is an amenable number.

46597698225 is an abundant number, since it is smaller than the sum of its proper divisors (49593933714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46597698225 is an frugal number, since it uses more digits than its factorization.

46597698225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 62 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 46597698225 in words is "forty-six billion, five hundred ninety-seven million, six hundred ninety-eight thousand, two hundred twenty-five".