34645398919488 has 224 divisors, whose sum is σ = 119108214635520. Its totient is φ = 9668483274240.

The previous prime is 34645398919477. The next prime is 34645398919493. The reversal of 34645398919488 is 88491989354643.

It is a happy number.

34645398919488 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 53 + 9 + 89 + 1 + 9 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32784558 + ... + 33824813.

Almost surely, 2^{34645398919488} is an apocalyptic number.

It is an amenable number.

34645398919488 is an abundant number, since it is smaller than the sum of its proper divisors (84462815716032).

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

34645398919488 is a wasteful number, since it uses less digits than its factorization.

34645398919488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66609442 (or 66609426 counting only the distinct ones).

The product of its digits is 6449725440, while the sum is 81.

The spelling of 34645398919488 in words is "thirty-four trillion, six hundred forty-five billion, three hundred ninety-eight million, nine hundred nineteen thousand, four hundred eighty-eight".