226695672000 has 1008 divisors, whose sum is σ = 963931146048. Its totient is φ = 51732172800.

The previous prime is 226695671933. The next prime is 226695672001. The reversal of 226695672000 is 276596622.

226695672000 is a `hidden beast` number, since 2 + 2 + 6 + 69 + 567 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (226695672001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 367415692 + ... + 367416308.

Almost surely, 2^226695672000 is an apocalyptic number.

226695672000 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 226695672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481965573024).

226695672000 is an abundant number, since it is smaller than the sum of its proper divisors (737235474048).

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

226695672000 is an frugal number, since it uses more digits than its factorization.

226695672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 226695672000 in words is "two hundred twenty-six billion, six hundred ninety-five million, six hundred seventy-two thousand".