226009719936000 has 12672 divisors, whose sum is σ = 1242201806995968. Its totient is φ = 40131624960000.

The previous prime is 226009719935957. The next prime is 226009719936019. The reversal of 226009719936000 is 639917900622.

226009719936000 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 0 + 97 + 199 + 360 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (12672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3705077375970 + ... + 3705077376030.

Almost surely, 2^{226009719936000} is an apocalyptic number.

226009719936000 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 226009719936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621100903497984).

226009719936000 is an abundant number, since it is smaller than the sum of its proper divisors (1016192087059968).

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

226009719936000 is a wasteful number, since it uses less digits than its factorization.

226009719936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 226009719936000 in words is "two hundred twenty-six trillion, nine billion, seven hundred nineteen million, nine hundred thirty-six thousand".