34055614161045 has 24 divisors (see below), whose sum is σ = 59239801452312. Its totient is φ = 18098357222400.

The previous prime is 34055614161011. The next prime is 34055614161053. The reversal of 34055614161045 is 54016141655043.

34055614161045 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 5 + 614 + 16 + 10 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17105908693041 + 16949705468004 = 4135929^2 + 4117002^2 .

It is not a de Polignac number, because 34055614161045 - 2¹¹ = 34055614158997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1346591316 + ... + 1346616605.

It is an arithmetic number, because the mean of its divisors is an integer number (2468325060513).

Almost surely, 2^{34055614161045} is an apocalyptic number.

It is an amenable number.

34055614161045 is a deficient number, since it is larger than the sum of its proper divisors (25184187291267).

34055614161045 is a wasteful number, since it uses less digits than its factorization.

34055614161045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693208213 (or 2693208210 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 34055614161045 in words is "thirty-four trillion, fifty-five billion, six hundred fourteen million, one hundred sixty-one thousand, forty-five".