345659321576448 has 528 divisors, whose sum is σ = 1168081610492160. Its totient is φ = 101133320601600.

The previous prime is 345659321576447. The next prime is 345659321576501. The reversal of 345659321576448 is 844675123956543.

345659321576448 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 5 + 9 + 3 + 2 + 1 + 576 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (345659321576447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 77200093 + ... + 81554723.

Almost surely, 2^{345659321576448} 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 345659321576448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584040805246080).

345659321576448 is an abundant number, since it is smaller than the sum of its proper divisors (822422288915712).

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

345659321576448 is a wasteful number, since it uses less digits than its factorization.

345659321576448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354706 (or 4354676 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 345659321576448 in words is "three hundred forty-five trillion, six hundred fifty-nine billion, three hundred twenty-one million, five hundred seventy-six thousand, four hundred forty-eight".