226201666521600 has 3840 divisors, whose sum is σ = 1068189151518720. Its totient is φ = 45519667200000.

The previous prime is 226201666521581. The next prime is 226201666521617. The reversal of 226201666521600 is 6125666102622.

226201666521600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 164749938514 + ... + 164749939886.

It is an arithmetic number, because the mean of its divisors is an integer number (278174258208).

Almost surely, 2^{226201666521600} is an apocalyptic number.

226201666521600 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 226201666521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534094575759360).

226201666521600 is an abundant number, since it is smaller than the sum of its proper divisors (841987484997120).

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

226201666521600 is a wasteful number, since it uses less digits than its factorization.

226201666521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 226201666521600 in words is "two hundred twenty-six trillion, two hundred one billion, six hundred sixty-six million, five hundred twenty-one thousand, six hundred".