345158321760 has 288 divisors, whose sum is σ = 1374760138752. Its totient is φ = 77214643200.

The previous prime is 345158321743. The next prime is 345158321771. The reversal of 345158321760 is 67123851543.

It is a happy number.

345158321760 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 583 + 2 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109485 + ... + 838035.

It is an arithmetic number, because the mean of its divisors is an integer number (4773472704).

Almost surely, 2^345158321760 is an apocalyptic number.

345158321760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345158321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687380069376).

345158321760 is an abundant number, since it is smaller than the sum of its proper divisors (1029601816992).

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

345158321760 is a wasteful number, since it uses less digits than its factorization.

345158321760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728626 (or 728615 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 345158321760 in words is "three hundred forty-five billion, one hundred fifty-eight million, three hundred twenty-one thousand, seven hundred sixty".