345773715625 has 24 divisors (see below), whose sum is σ = 465434882136. Its totient is φ = 255340560000.

The previous prime is 345773715613. The next prime is 345773715629. The reversal of 345773715625 is 526517377543.

It can be written as a sum of positive squares in 12 ways, for example, as 313298792361 + 32474923264 = 559731^2 + 180208^2 .

It is not a de Polignac number, because 345773715625 - 2¹⁵ = 345773682857 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345773715629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4215052 + ... + 4296301.

It is an arithmetic number, because the mean of its divisors is an integer number (19393120089).

Almost surely, 2^345773715625 is an apocalyptic number.

It is an amenable number.

345773715625 is a deficient number, since it is larger than the sum of its proper divisors (119661166511).

345773715625 is an frugal number, since it uses more digits than its factorization.

345773715625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8511391 (or 8511371 counting only the distinct ones).

The product of its digits is 18522000, while the sum is 55.

The spelling of 345773715625 in words is "three hundred forty-five billion, seven hundred seventy-three million, seven hundred fifteen thousand, six hundred twenty-five".