345850225560 has 192 divisors, whose sum is σ = 1284989921280. Its totient is φ = 79026658560.

The previous prime is 345850225519. The next prime is 345850225561. The reversal of 345850225560 is 65522058543.

345850225560 is a `hidden beast` number, since 3 + 4 + 5 + 85 + 0 + 2 + 2 + 5 + 560 = 666.

It is a super-2 number, since 2×345850225560² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345850225561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8706945 + ... + 8746575.

It is an arithmetic number, because the mean of its divisors is an integer number (6692655840).

Almost surely, 2^345850225560 is an apocalyptic number.

345850225560 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 345850225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642494960640).

345850225560 is an abundant number, since it is smaller than the sum of its proper divisors (939139695720).

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

345850225560 is a wasteful number, since it uses less digits than its factorization.

345850225560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43118 (or 43111 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 345850225560 in words is "three hundred forty-five billion, eight hundred fifty million, two hundred twenty-five thousand, five hundred sixty".