227891664000 has 4096 divisors, whose sum is σ = 1231817932800. Its totient is φ = 39813120000.

The previous prime is 227891663933. The next prime is 227891664067. The reversal of 227891664000 is 466198722.

It is a happy number.

227891664000 is a `hidden beast` number, since 2 + 2 + 7 + 89 + 166 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (227891663933) and next prime (227891664067).

It is a super-2 number, since 2×227891664000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7351343985 + ... + 7351344015.

It is an arithmetic number, because the mean of its divisors is an integer number (300736800).

Almost surely, 2^227891664000 is an apocalyptic number.

227891664000 is a gapful number since it is divisible by the number (20) 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 227891664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615908966400).

227891664000 is an abundant number, since it is smaller than the sum of its proper divisors (1003926268800).

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

227891664000 is a wasteful number, since it uses less digits than its factorization.

227891664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 227891664000 in words is "two hundred twenty-seven billion, eight hundred ninety-one million, six hundred sixty-four thousand".