34351563136464 has 240 divisors, whose sum is σ = 112054187037312. Its totient is φ = 9620027569152.

The previous prime is 34351563136379. The next prime is 34351563136487. The reversal of 34351563136464 is 46463136515343.

34351563136464 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 1 + 563 + 1 + 36 + 46 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34351563136464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53801139 + ... + 54435885.

Almost surely, 2^{34351563136464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34351563136464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56027093518656).

34351563136464 is an abundant number, since it is smaller than the sum of its proper divisors (77702623900848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34351563136464 is a wasteful number, since it uses less digits than its factorization.

34351563136464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635834 (or 635825 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 34351563136464 in words is "thirty-four trillion, three hundred fifty-one billion, five hundred sixty-three million, one hundred thirty-six thousand, four hundred sixty-four".