214168168416 has 48 divisors (see below), whose sum is σ = 591780470400. Its totient is φ = 67632052608.

The previous prime is 214168168381. The next prime is 214168168429. The reversal of 214168168416 is 614861861412.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58706556 + ... + 58710203.

It is an arithmetic number, because the mean of its divisors is an integer number (12328759800).

Almost surely, 2^214168168416 is an apocalyptic number.

It is an amenable number.

214168168416 is an abundant number, since it is smaller than the sum of its proper divisors (377612301984).

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

214168168416 is a wasteful number, since it uses less digits than its factorization.

214168168416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117416791 (or 117416783 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

It can be divided in two parts, 214 and 168168416, that added together give a triangular number (168168630 = T₁₈₃₃₉).

The spelling of 214168168416 in words is "two hundred fourteen billion, one hundred sixty-eight million, one hundred sixty-eight thousand, four hundred sixteen".