214749853164 has 288 divisors, whose sum is σ = 698353883136. Its totient is φ = 54026403840.

The previous prime is 214749853159. The next prime is 214749853183. The reversal of 214749853164 is 461358947412.

214749853164 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 49 + 8 + 531 + 64 = 666.

It is a super-2 number, since 2×214749853164² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214749853164.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12629052 + ... + 12646044.

It is an arithmetic number, because the mean of its divisors is an integer number (2424839872).

Almost surely, 2^214749853164 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 214749853164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349176941568).

214749853164 is an abundant number, since it is smaller than the sum of its proper divisors (483604029972).

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

214749853164 is a wasteful number, since it uses less digits than its factorization.

214749853164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17165 (or 17160 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 214749853164 in words is "two hundred fourteen billion, seven hundred forty-nine million, eight hundred fifty-three thousand, one hundred sixty-four".