345222323231040 has 112 divisors (see below), whose sum is σ = 1217867640317760. Its totient is φ = 92059286192640.

The previous prime is 345222323231039. The next prime is 345222323231059. The reversal of 345222323231040 is 40132323222543.

345222323231040 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 223 + 2 + 323 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345222323230986 and 345222323231004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19978135066 + ... + 19978152345.

Almost surely, 2^{345222323231040} is an apocalyptic number.

345222323231040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345222323231040 is an abundant number, since it is smaller than the sum of its proper divisors (872645317086720).

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

345222323231040 is a wasteful number, since it uses less digits than its factorization.

345222323231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39956287437 (or 39956287421 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 345222323231040 its reverse (40132323222543), we get a palindrome (385354646453583).

The spelling of 345222323231040 in words is "three hundred forty-five trillion, two hundred twenty-two billion, three hundred twenty-three million, two hundred thirty-one thousand, forty".