345777134344 has 24 divisors (see below), whose sum is σ = 686482925310. Its totient is φ = 162715424384.

The previous prime is 345777134341. The next prime is 345777134359. The reversal of 345777134344 is 443431777543.

It can be written as a sum of positive squares in only one way, i.e., 254247892900 + 91529241444 = 504230^2 + 302538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 345777134291 and 345777134300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345777134341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6832317 + ... + 6882739.

Almost surely, 2^345777134344 is an apocalyptic number.

345777134344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

345777134344 is a deficient number, since it is larger than the sum of its proper divisors (340705790966).

345777134344 is an frugal number, since it uses more digits than its factorization.

345777134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100869 (or 50442 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 52.

The spelling of 345777134344 in words is "three hundred forty-five billion, seven hundred seventy-seven million, one hundred thirty-four thousand, three hundred forty-four".