46261557225 has 81 divisors (see below), whose sum is σ = 89805116037. Its totient is φ = 22754272320.

The previous prime is 46261557217. The next prime is 46261557227. The reversal of 46261557225 is 52275516264.

The square root of 46261557225 is 215085.

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

46261557225 is a `hidden beast` number, since 4 + 6 + 2 + 615 + 5 + 7 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11923984809 + 34337572416 = 109197^2 + 185304^2 .

It is not a de Polignac number, because 46261557225 - 2³ = 46261557217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46261557227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41941024 + ... + 41942126.

Almost surely, 2^46261557225 is an apocalyptic number.

46261557225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46261557225 is the 215085-th square number.

46261557225 is the 107543-rd centered octagonal number.

It is an amenable number.

46261557225 is a deficient number, since it is larger than the sum of its proper divisors (43543558812).

46261557225 is a wasteful number, since it uses less digits than its factorization.

46261557225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 1124 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 46261557225 in words is "forty-six billion, two hundred sixty-one million, five hundred fifty-seven thousand, two hundred twenty-five".