34689048258261 has 16 divisors (see below), whose sum is σ = 47102339131200. Its totient is φ = 22702000470528.

The previous prime is 34689048258251. The next prime is 34689048258299. The reversal of 34689048258261 is 16285284098643.

It is not a de Polignac number, because 34689048258261 - 2⁶ = 34689048258197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34689048258192 and 34689048258201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34689048258251) 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, 138085596 + ... + 138336581.

It is an arithmetic number, because the mean of its divisors is an integer number (2943896195700).

Almost surely, 2^{34689048258261} is an apocalyptic number.

It is an amenable number.

34689048258261 is a deficient number, since it is larger than the sum of its proper divisors (12413290872939).

34689048258261 is a wasteful number, since it uses less digits than its factorization.

34689048258261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276422948.

The product of its (nonzero) digits is 159252480, while the sum is 66.

The spelling of 34689048258261 in words is "thirty-four trillion, six hundred eighty-nine billion, forty-eight million, two hundred fifty-eight thousand, two hundred sixty-one".