345581220096 has 360 divisors, whose sum is σ = 1192616113920. Its totient is φ = 97484414976.

The previous prime is 345581220091. The next prime is 345581220107. The reversal of 345581220096 is 690022185543.

345581220096 is a `hidden beast` number, since 3 + 4 + 558 + 1 + 2 + 2 + 0 + 0 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (345581220091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11451940 + ... + 11482076.

Almost surely, 2^345581220096 is an apocalyptic number.

345581220096 is a gapful number since it is divisible by the number (36) 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 345581220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596308056960).

345581220096 is an abundant number, since it is smaller than the sum of its proper divisors (847034893824).

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

345581220096 is an equidigital number, since it uses as much as digits as its factorization.

345581220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30251 (or 30228 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 345581220096 in words is "three hundred forty-five billion, five hundred eighty-one million, two hundred twenty thousand, ninety-six".