345123375312320 has 224 divisors, whose sum is σ = 915651985360896. Its totient is φ = 122823797760000.

The previous prime is 345123375312283. The next prime is 345123375312371. The reversal of 345123375312320 is 23213573321543.

It is a super-2 number, since 2×345123375312320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6766966820 + ... + 6767017820.

It is an arithmetic number, because the mean of its divisors is an integer number (4087732077504).

Almost surely, 2^{345123375312320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345123375312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457825992680448).

345123375312320 is an abundant number, since it is smaller than the sum of its proper divisors (570528610048576).

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

345123375312320 is a wasteful number, since it uses less digits than its factorization.

345123375312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91979 (or 91969 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 44.

The spelling of 345123375312320 in words is "three hundred forty-five trillion, one hundred twenty-three billion, three hundred seventy-five million, three hundred twelve thousand, three hundred twenty".