226665762400 has 576 divisors, whose sum is σ = 715130228736. Its totient is φ = 68108544000.

The previous prime is 226665762361. The next prime is 226665762437. The reversal of 226665762400 is 4267566622.

It is a congruent number.

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, 219849885 + ... + 219850915.

It is an arithmetic number, because the mean of its divisors is an integer number (1241545536).

Almost surely, 2^226665762400 is an apocalyptic number.

226665762400 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 226665762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357565114368).

226665762400 is an abundant number, since it is smaller than the sum of its proper divisors (488464466336).

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

226665762400 is a wasteful number, since it uses less digits than its factorization.

226665762400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 226665762400 in words is "two hundred twenty-six billion, six hundred sixty-five million, seven hundred sixty-two thousand, four hundred".