221383812672000 has 1920 divisors, whose sum is σ = 950766657325056. Its totient is φ = 48881664000000.

The previous prime is 221383812671981. The next prime is 221383812672073. The reversal of 221383812672000 is 276218383122.

221383812672000 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 8 + 381 + 2 + 67 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 3339038850 + ... + 3339105150.

Almost surely, 2^{221383812672000} is an apocalyptic number.

221383812672000 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 221383812672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475383328662528).

221383812672000 is an abundant number, since it is smaller than the sum of its proper divisors (729382844653056).

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

221383812672000 is a wasteful number, since it uses less digits than its factorization.

221383812672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66399 (or 66370 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 221383812672000 in words is "two hundred twenty-one trillion, three hundred eighty-three billion, eight hundred twelve million, six hundred seventy-two thousand".