345543333400512 has 448 divisors, whose sum is σ = 1130284738867200. Its totient is φ = 102798306938880.

The previous prime is 345543333400487. The next prime is 345543333400537. The reversal of 345543333400512 is 215004333345543.

345543333400512 is a `hidden beast` number, since 3 + 4 + 55 + 43 + 3 + 3 + 3 + 40 + 0 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (345543333400487) and next prime (345543333400537).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 772066143 + ... + 772513569.

It is an arithmetic number, because the mean of its divisors is an integer number (2522957006400).

Almost surely, 2^{345543333400512} is an apocalyptic number.

345543333400512 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 345543333400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565142369433600).

345543333400512 is an abundant number, since it is smaller than the sum of its proper divisors (784741405466688).

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

345543333400512 is a wasteful number, since it uses less digits than its factorization.

345543333400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448601 (or 448585 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

The spelling of 345543333400512 in words is "three hundred forty-five trillion, five hundred forty-three billion, three hundred thirty-three million, four hundred thousand, five hundred twelve".