34465688656443 has 432 divisors, whose sum is σ = 62961342208128. Its totient is φ = 17946365184000.

The previous prime is 34465688656417. The next prime is 34465688656453.

It is a happy number.

34465688656443 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 56 + 8 + 8 + 6 + 564 + 4 + 3 = 666.

34465688656443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34465688656443 - 2⁵ = 34465688656411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34465688656403) 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 431 ways as a sum of consecutive naturals, for example, 341244442093 + ... + 341244442193.

It is an arithmetic number, because the mean of its divisors is an integer number (145743847704).

Almost surely, 2^{34465688656443} is an apocalyptic number.

34465688656443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34465688656443 is a deficient number, since it is larger than the sum of its proper divisors (28495653551685).

34465688656443 is a wasteful number, since it uses less digits than its factorization.

34465688656443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 301 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 34465688656443 in words is "thirty-four trillion, four hundred sixty-five billion, six hundred eighty-eight million, six hundred fifty-six thousand, four hundred forty-three".