345261606399 has 12 divisors (see below), whose sum is σ = 505024010400. Its totient is φ = 227260803744.

The previous prime is 345261606359. The next prime is 345261606401. The reversal of 345261606399 is 993606162543.

345261606399 is a `hidden beast` number, since 3 + 4 + 5 + 26 + 1 + 606 + 3 + 9 + 9 = 666.

It is not a de Polignac number, because 345261606399 - 2¹⁶ = 345261540863 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345261606359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242799294 + ... + 242800715.

It is an arithmetic number, because the mean of its divisors is an integer number (42085334200).

Almost surely, 2^345261606399 is an apocalyptic number.

345261606399 is a deficient number, since it is larger than the sum of its proper divisors (159762404001).

345261606399 is a wasteful number, since it uses less digits than its factorization.

345261606399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485600094 (or 485600091 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 345261606399 in words is "three hundred forty-five billion, two hundred sixty-one million, six hundred six thousand, three hundred ninety-nine".