345211485120 has 224 divisors, whose sum is σ = 1247533842240. Its totient is φ = 89811025920.

The previous prime is 345211485097. The next prime is 345211485131. The reversal of 345211485120 is 21584112543.

345211485120 is a `hidden beast` number, since 3 + 4 + 52 + 1 + 1 + 485 + 120 = 666.

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

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, 133017 + ... + 841496.

It is an arithmetic number, because the mean of its divisors is an integer number (5569347510).

Almost surely, 2^345211485120 is an apocalyptic number.

345211485120 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 345211485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623766921120).

345211485120 is an abundant number, since it is smaller than the sum of its proper divisors (902322357120).

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

345211485120 is a wasteful number, since it uses less digits than its factorization.

345211485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974580 (or 974564 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 345211485120 its reverse (21584112543), we get a palindrome (366795597663).

The spelling of 345211485120 in words is "three hundred forty-five billion, two hundred eleven million, four hundred eighty-five thousand, one hundred twenty".