4214567168112 has 160 divisors (see below), whose sum is σ = 12511707136000. Its totient is φ = 1197519738624.

The previous prime is 4214567168087. The next prime is 4214567168143. The reversal of 4214567168112 is 2118617654124.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 145682193 + ... + 145711119.

It is an arithmetic number, because the mean of its divisors is an integer number (78198169600).

Almost surely, 2^{4214567168112} is an apocalyptic number.

4214567168112 is a gapful number since it is divisible by the number (42) 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 4214567168112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255853568000).

4214567168112 is an abundant number, since it is smaller than the sum of its proper divisors (8297139967888).

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

4214567168112 is a wasteful number, since it uses less digits than its factorization.

4214567168112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31323 (or 31317 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The spelling of 4214567168112 in words is "four trillion, two hundred fourteen billion, five hundred sixty-seven million, one hundred sixty-eight thousand, one hundred twelve".