34553354642361 has 16 divisors (see below), whose sum is σ = 51198157494400. Its totient is φ = 23031968650704.

The previous prime is 34553354642353. The next prime is 34553354642363. The reversal of 34553354642361 is 16324645335543.

It is a happy number.

34553354642361 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 33 + 546 + 4 + 2 + 3 + 61 = 666.

It is not a de Polignac number, because 34553354642361 - 2³ = 34553354642353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34553354642298 and 34553354642307.

It is not an unprimeable number, because it can be changed into a prime (34553354642363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99854941 + ... + 100200378.

It is an arithmetic number, because the mean of its divisors is an integer number (3199884843400).

Almost surely, 2^{34553354642361} is an apocalyptic number.

It is an amenable number.

34553354642361 is a deficient number, since it is larger than the sum of its proper divisors (16644802852039).

34553354642361 is a wasteful number, since it uses less digits than its factorization.

34553354642361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200061725 (or 200061719 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 54.

The spelling of 34553354642361 in words is "thirty-four trillion, five hundred fifty-three billion, three hundred fifty-four million, six hundred forty-two thousand, three hundred sixty-one".