344907056164608 has 576 divisors, whose sum is σ = 1299185564544000. Its totient is φ = 87866632175616.

The previous prime is 344907056164579. The next prime is 344907056164609. The reversal of 344907056164608 is 806461650709443.

344907056164608 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 0 + 7 + 0 + 5 + 6 + 16 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344907056164609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4593148 + ... + 26662916.

It is an arithmetic number, because the mean of its divisors is an integer number (2255530494000).

Almost surely, 2^{344907056164608} is an apocalyptic number.

344907056164608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344907056164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649592782272000).

344907056164608 is an abundant number, since it is smaller than the sum of its proper divisors (954278508379392).

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

344907056164608 is a wasteful number, since it uses less digits than its factorization.

344907056164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22069837 (or 22069817 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 344907056164608 in words is "three hundred forty-four trillion, nine hundred seven billion, fifty-six million, one hundred sixty-four thousand, six hundred eight".