2345168210112 has 1344 divisors, whose sum is σ = 8898320471040. Its totient is φ = 595954630656.

The previous prime is 2345168210107. The next prime is 2345168210123. The reversal of 2345168210112 is 2110128615432.

2345168210112 is a `hidden beast` number, since 2 + 3 + 4 + 516 + 8 + 21 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5416092648 + ... + 5416093080.

It is an arithmetic number, because the mean of its divisors is an integer number (6620774160).

Almost surely, 2^{2345168210112} 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 2345168210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449160235520).

2345168210112 is an abundant number, since it is smaller than the sum of its proper divisors (6553152260928).

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

2345168210112 is a wasteful number, since it uses less digits than its factorization.

2345168210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2345168210112 in words is "two trillion, three hundred forty-five billion, one hundred sixty-eight million, two hundred ten thousand, one hundred twelve".