4214923164 has 72 divisors (see below), whose sum is σ = 10927189728. Its totient is φ = 1369082880.

The previous prime is 4214923127. The next prime is 4214923171. The reversal of 4214923164 is 4613294124.

4214923164 is a `hidden beast` number, since 4 + 2 + 1 + 492 + 3 + 164 = 666.

It is a super-3 number, since 3×4214923164³ (a number of 30 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 2371044 + ... + 2372820.

It is an arithmetic number, because the mean of its divisors is an integer number (151766524).

Almost surely, 2^4214923164 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 4214923164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463594864).

4214923164 is an abundant number, since it is smaller than the sum of its proper divisors (6712266564).

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

4214923164 is a wasteful number, since it uses less digits than its factorization.

4214923164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3430 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4214923164 is about 64922.4396029601. The cubic root of 4214923164 is about 1615.3372967887.

The spelling of 4214923164 in words is "four billion, two hundred fourteen million, nine hundred twenty-three thousand, one hundred sixty-four".