34045999661025 has 81 divisors (see below), whose sum is σ = 67029683751667. Its totient is φ = 16506684559200.

The previous prime is 34045999660997. The next prime is 34045999661029. The reversal of 34045999661025 is 52016699954043.

The square root of 34045999661025 is 5834895.

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

34045999661025 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 5 + 9 + 9 + 9 + 6 + 610 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12256559877969 + 21789439783056 = 3500937^2 + 4667916^2 .

It is not a de Polignac number, because 34045999661025 - 2⁵ = 34045999660993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34045999661029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 962739994 + ... + 962775356.

Almost surely, 2^{34045999661025} is an apocalyptic number.

34045999661025 is the 5834895-th square number.

34045999661025 is the 2917448-th centered octagonal number.

It is an amenable number.

34045999661025 is a deficient number, since it is larger than the sum of its proper divisors (32983684090642).

34045999661025 is an frugal number, since it uses more digits than its factorization.

34045999661025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70764 (or 35382 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 34045999661025 in words is "thirty-four trillion, forty-five billion, nine hundred ninety-nine million, six hundred sixty-one thousand, twenty-five".