34345502541 has 12 divisors (see below), whose sum is σ = 56697337632. Its totient is φ = 19626001416.

The previous prime is 34345502533. The next prime is 34345502557. The reversal of 34345502541 is 14520554343.

34345502541 is a `hidden beast` number, since 3 + 43 + 4 + 550 + 25 + 41 = 666.

It is not a de Polignac number, because 34345502541 - 2³ = 34345502533 is a prime.

It is a super-2 number, since 2×34345502541² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34345502496 and 34345502505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345502501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272583291 + ... + 272583416.

It is an arithmetic number, because the mean of its divisors is an integer number (4724778136).

Almost surely, 2^34345502541 is an apocalyptic number.

It is an amenable number.

34345502541 is a deficient number, since it is larger than the sum of its proper divisors (22351835091).

34345502541 is a wasteful number, since it uses less digits than its factorization.

34345502541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545166720 (or 545166717 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34345502541 in words is "thirty-four billion, three hundred forty-five million, five hundred two thousand, five hundred forty-one".