227290328136000 has 336 divisors, whose sum is σ = 816605904900240. Its totient is φ = 60346074009600.

The previous prime is 227290328135987. The next prime is 227290328136041. The reversal of 227290328136000 is 631823092722.

227290328136000 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 9 + 0 + 3 + 28 + 13 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7605284341824 + 219685043794176 = 2757768^2 + 14821776^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9595402 + ... + 23380598.

It is an arithmetic number, because the mean of its divisors is an integer number (2430374716965).

Almost surely, 2^{227290328136000} is an apocalyptic number.

227290328136000 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 227290328136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408302952450120).

227290328136000 is an abundant number, since it is smaller than the sum of its proper divisors (589315576764240).

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

227290328136000 is a wasteful number, since it uses less digits than its factorization.

227290328136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13785459 (or 13785436 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 227290328136000 in words is "two hundred twenty-seven trillion, two hundred ninety billion, three hundred twenty-eight million, one hundred thirty-six thousand".