46485516025 has 81 divisors (see below), whose sum is σ = 65103920973. Its totient is φ = 32909947200.

The previous prime is 46485516019. The next prime is 46485516031. The reversal of 46485516025 is 52061558464.

The square root of 46485516025 is 215605.

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

It is an interprime number because it is at equal distance from previous prime (46485516019) and next prime (46485516031).

It can be written as a sum of positive squares in 4 ways, for example, as 11981710521 + 34503805504 = 109461^2 + 185752^2 .

It is not a de Polignac number, because 46485516025 - 2³ = 46485516017 is a prime.

It is a super-2 number, since 2×46485516025² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 434444022 + ... + 434444128.

Almost surely, 2^46485516025 is an apocalyptic number.

46485516025 is the 215605-th square number.

46485516025 is the 107803-rd centered octagonal number.

It is an amenable number.

46485516025 is a deficient number, since it is larger than the sum of its proper divisors (18618404948).

46485516025 is a wasteful number, since it uses less digits than its factorization.

46485516025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 46485516025 in words is "forty-six billion, four hundred eighty-five million, five hundred sixteen thousand, twenty-five".