345223353303000 has 384 divisors, whose sum is σ = 1183339275206400. Its totient is φ = 90766650240000.

The previous prime is 345223353302981. The next prime is 345223353303007. The reversal of 345223353303000 is 303353322543.

345223353303000 is a `hidden beast` number, since 3 + 45 + 2 + 233 + 53 + 30 + 300 + 0 = 666.

It is a super-2 number, since 2×345223353303000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345223353303007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216456474 + ... + 218045526.

It is an arithmetic number, because the mean of its divisors is an integer number (3081612695850).

Almost surely, 2^{345223353303000} is an apocalyptic number.

345223353303000 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 345223353303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591669637603200).

345223353303000 is an abundant number, since it is smaller than the sum of its proper divisors (838115921903400).

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

345223353303000 is a wasteful number, since it uses less digits than its factorization.

345223353303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589420 (or 1589403 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 36.

The spelling of 345223353303000 in words is "three hundred forty-five trillion, two hundred twenty-three billion, three hundred fifty-three million, three hundred three thousand".