345666569472 has 720 divisors, whose sum is σ = 1265459956992. Its totient is φ = 91596718080.

The previous prime is 345666569419. The next prime is 345666569473. The reversal of 345666569472 is 274965666543.

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 (345666569473) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175197478 + ... + 175199450.

Almost surely, 2^345666569472 is an apocalyptic number.

345666569472 is a gapful number since it is divisible by the number (32) 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 345666569472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632729978496).

345666569472 is an abundant number, since it is smaller than the sum of its proper divisors (919793387520).

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

345666569472 is a wasteful number, since it uses less digits than its factorization.

345666569472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2073 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 63.

The spelling of 345666569472 in words is "three hundred forty-five billion, six hundred sixty-six million, five hundred sixty-nine thousand, four hundred seventy-two".