345165481100 has 144 divisors (see below), whose sum is σ = 824197248000. Its totient is φ = 124427424000.

The previous prime is 345165481051. The next prime is 345165481103. The reversal of 345165481100 is 1184561543.

It is not an unprimeable number, because it can be changed into a prime (345165481103) 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, 143877701 + ... + 143880099.

It is an arithmetic number, because the mean of its divisors is an integer number (5723592000).

Almost surely, 2^345165481100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345165481100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412098624000).

345165481100 is an abundant number, since it is smaller than the sum of its proper divisors (479031766900).

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

345165481100 is a wasteful number, since it uses less digits than its factorization.

345165481100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 345165481100 in words is "three hundred forty-five billion, one hundred sixty-five million, four hundred eighty-one thousand, one hundred".