46649520225 has 405 divisors, whose sum is σ = 113574022185. Its totient is φ = 18246412800.

The previous prime is 46649520173. The next prime is 46649520241. The reversal of 46649520225 is 52202594664.

The square root of 46649520225 is 215985.

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

46649520225 is a `hidden beast` number, since 4 + 66 + 49 + 520 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1091179089 + 45558341136 = 33033^2 + 213444^2 .

It is not a de Polignac number, because 46649520225 - 2⁹ = 46649519713 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2744089417 + ... + 2744089433.

Almost surely, 2^46649520225 is an apocalyptic number.

46649520225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46649520225 is the 215985-th square number.

46649520225 is the 107993-rd centered octagonal number.

It is an amenable number.

46649520225 is an abundant number, since it is smaller than the sum of its proper divisors (66924501960).

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

46649520225 is a wasteful number, since it uses less digits than its factorization.

46649520225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 46649520225 in words is "forty-six billion, six hundred forty-nine million, five hundred twenty thousand, two hundred twenty-five".