46621379160225 has 45 divisors (see below), whose sum is σ = 86359479391273. Its totient is φ = 24864571680480.

The previous prime is 46621379160217. The next prime is 46621379160241. The reversal of 46621379160225 is 52206197312664.

It is a happy number.

The square root of 46621379160225 is 6827985.

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

46621379160225 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 1 + 3 + 7 + 9 + 1 + 602 + 25 = 666.

46621379160225 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 4 ways, for example, as 842839671969 + 45778539488256 = 918063^2 + 6765984^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 46621379160225 - 2³ = 46621379160217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 307183459 + ... + 307335191.

Almost surely, 2^{46621379160225} is an apocalyptic number.

46621379160225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46621379160225 is the 6827985-th square number.

46621379160225 is the 3413993-rd centered octagonal number.

It is an amenable number.

46621379160225 is a deficient number, since it is larger than the sum of its proper divisors (39738100231048).

46621379160225 is an frugal number, since it uses more digits than its factorization.

46621379160225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303488 (or 151741 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 46621379160225 in words is "forty-six trillion, six hundred twenty-one billion, three hundred seventy-nine million, one hundred sixty thousand, two hundred twenty-five".