227807713432032 has 384 divisors, whose sum is σ = 658349117798400. Its totient is φ = 68652863225856.

The previous prime is 227807713431943. The next prime is 227807713432067. The reversal of 227807713432032 is 230234317708722.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13155140238 + ... + 13155157554.

It is an arithmetic number, because the mean of its divisors is an integer number (1714450827600).

Almost surely, 2^{227807713432032} 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 227807713432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329174558899200).

227807713432032 is an abundant number, since it is smaller than the sum of its proper divisors (430541404366368).

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

227807713432032 is a wasteful number, since it uses less digits than its factorization.

227807713432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18778 (or 18770 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 227807713432032 in words is "two hundred twenty-seven trillion, eight hundred seven billion, seven hundred thirteen million, four hundred thirty-two thousand, thirty-two".