221339006396928 has 2400 divisors, whose sum is σ = 857960926986240. Its totient is φ = 55435210997760.

The previous prime is 221339006396927. The next prime is 221339006396969. The reversal of 221339006396928 is 829693600933122.

221339006396928 is a `hidden beast` number, since 2 + 2 + 13 + 390 + 0 + 63 + 96 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (221339006396927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90453209401 + ... + 90453211847.

Almost surely, 2^{221339006396928} is an apocalyptic number.

221339006396928 is a gapful number since it is divisible by the number (28) 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 221339006396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428980463493120).

221339006396928 is an abundant number, since it is smaller than the sum of its proper divisors (636621920589312).

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

221339006396928 is a wasteful number, since it uses less digits than its factorization.

221339006396928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 221339006396928 in words is "two hundred twenty-one trillion, three hundred thirty-nine billion, six million, three hundred ninety-six thousand, nine hundred twenty-eight".