34545063456345 has 192 divisors, whose sum is σ = 63713789706240. Its totient is φ = 15953235876864.

The previous prime is 34545063456341. The next prime is 34545063456451. The reversal of 34545063456345 is 54365436054543.

It is a happy number.

It is not a de Polignac number, because 34545063456345 - 2² = 34545063456341 is a prime.

It is a super-2 number, since 2×34545063456345² (a number of 28 digits) contains 22 as substring.

34545063456345 is a modest number, since divided by 63456345 gives 345450 as remainder.

It is not an unprimeable number, because it can be changed into a prime (34545063456341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295301976 + ... + 295418934.

It is an arithmetic number, because the mean of its divisors is an integer number (331842654720).

Almost surely, 2^{34545063456345} is an apocalyptic number.

It is an amenable number.

34545063456345 is a deficient number, since it is larger than the sum of its proper divisors (29168726249895).

34545063456345 is a wasteful number, since it uses less digits than its factorization.

34545063456345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117144 (or 117131 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 57.

The spelling of 34545063456345 in words is "thirty-four trillion, five hundred forty-five billion, sixty-three million, four hundred fifty-six thousand, three hundred forty-five".