345843801855783 has 72 divisors (see below), whose sum is σ = 647428116291840. Its totient is φ = 175836583308960.

The previous prime is 345843801855779. The next prime is 345843801855787. The reversal of 345843801855783 is 387558108348543.

It is a happy number.

345843801855783 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 4 + 38 + 0 + 18 + 5 + 578 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (345843801855779) and next prime (345843801855787).

It is not a de Polignac number, because 345843801855783 - 2² = 345843801855779 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345843801855787) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 758211373 + ... + 758667366.

It is an arithmetic number, because the mean of its divisors is an integer number (8992057170720).

Almost surely, 2^{345843801855783} is an apocalyptic number.

345843801855783 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345843801855783 is a deficient number, since it is larger than the sum of its proper divisors (301584314436057).

345843801855783 is a wasteful number, since it uses less digits than its factorization.

345843801855783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516878817 (or 1516878807 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 345843801855783 in words is "three hundred forty-five trillion, eight hundred forty-three billion, eight hundred one million, eight hundred fifty-five thousand, seven hundred eighty-three".