46024894747225 has 27 divisors (see below), whose sum is σ = 57215295198327. Its totient is φ = 36726972737280.

The previous prime is 46024894747211. The next prime is 46024894747231. The reversal of 46024894747225 is 52274749842064.

The square root of 46024894747225 is 6784165.

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

It can be written as a sum of positive squares in 13 ways, for example, as 40762440395209 + 5262454352016 = 6384547^2 + 2294004^2 .

It is not a de Polignac number, because 46024894747225 - 2²³ = 46024886358617 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15501815541 + ... + 15501818509.

Almost surely, 2^{46024894747225} is an apocalyptic number.

46024894747225 is the 6784165-th square number.

46024894747225 is the 3392083-rd centered octagonal number.

It is an amenable number.

46024894747225 is a deficient number, since it is larger than the sum of its proper divisors (11190400451102).

46024894747225 is an frugal number, since it uses more digits than its factorization.

46024894747225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 64.

The spelling of 46024894747225 in words is "forty-six trillion, twenty-four billion, eight hundred ninety-four million, seven hundred forty-seven thousand, two hundred twenty-five".