46339020225 has 81 divisors (see below), whose sum is σ = 84403889193. Its totient is φ = 24302557440.

The previous prime is 46339020199. The next prime is 46339020271. The reversal of 46339020225 is 52202093364.

It is a happy number.

The square root of 46339020225 is 215265.

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

46339020225 is a `hidden beast` number, since 4 + 63 + 390 + 202 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23575452849 + 22763567376 = 153543^2 + 150876^2 .

It is a de Polignac number, because none of the positive numbers 2^k-46339020225 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46339020225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 364874112 + ... + 364874238.

Almost surely, 2^46339020225 is an apocalyptic number.

46339020225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46339020225 is the 215265-th square number.

46339020225 is the 107633-rd centered octagonal number.

It is an amenable number.

46339020225 is a deficient number, since it is larger than the sum of its proper divisors (38064868968).

46339020225 is a wasteful number, since it uses less digits than its factorization.

46339020225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 46339020225 by its sum of digits (36), we get a square (1668204728100 = 1291590²).

The spelling of 46339020225 in words is "forty-six billion, three hundred thirty-nine million, twenty thousand, two hundred twenty-five".