226473408000 has 1200 divisors, whose sum is σ = 976475564064. Its totient is φ = 51110092800.

The previous prime is 226473407989. The next prime is 226473408023. The reversal of 226473408000 is 804374622.

226473408000 is a `hidden beast` number, since 2 + 2 + 647 + 3 + 4 + 0 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×226473408000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2866751961 + ... + 2866752039.

Almost surely, 2^226473408000 is an apocalyptic number.

226473408000 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 226473408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488237782032).

226473408000 is an abundant number, since it is smaller than the sum of its proper divisors (750002156064).

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

226473408000 is an frugal number, since it uses more digits than its factorization.

226473408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 226473408000 in words is "two hundred twenty-six billion, four hundred seventy-three million, four hundred eight thousand".