34485140484025 has 135 divisors (see below), whose sum is σ = 54858036473583. Its totient is φ = 21487364791200.

The previous prime is 34485140484017. The next prime is 34485140484101. The reversal of 34485140484025 is 52048404158443.

The square root of 34485140484025 is 5872405.

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

It can be written as a sum of positive squares in only one way, i.e., 12414650574249 + 22070489909776 = 3523443^2 + 4697924^2 .

It is not a de Polignac number, because 34485140484025 - 2³ = 34485140484017 is a prime.

It is a super-3 number, since 3×34485140484025³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15826130386 + ... + 15826132564.

Almost surely, 2^{34485140484025} is an apocalyptic number.

34485140484025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34485140484025 is the 5872405-th square number.

34485140484025 is the 2936203-rd centered octagonal number.

It is an amenable number.

34485140484025 is a deficient number, since it is larger than the sum of its proper divisors (20372895989558).

34485140484025 is an frugal number, since it uses more digits than its factorization.

34485140484025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 52.

The spelling of 34485140484025 in words is "thirty-four trillion, four hundred eighty-five billion, one hundred forty million, four hundred eighty-four thousand, twenty-five".