345723726144 has 28 divisors (see below), whose sum is σ = 914727359264. Its totient is φ = 115241241984.

The previous prime is 345723726137. The next prime is 345723726149. The reversal of 345723726144 is 441627327543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 345723726093 and 345723726102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345723726149) 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 3 ways as a sum of consecutive naturals, for example, 900322012 + ... + 900322395.

Almost surely, 2^345723726144 is an apocalyptic number.

It is an amenable number.

345723726144 is an abundant number, since it is smaller than the sum of its proper divisors (569003633120).

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

345723726144 is a wasteful number, since it uses less digits than its factorization.

345723726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800644422 (or 1800644412 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 48.

The spelling of 345723726144 in words is "three hundred forty-five billion, seven hundred twenty-three million, seven hundred twenty-six thousand, one hundred forty-four".