221114072507640 has 1024 divisors, whose sum is σ = 778688205926400. Its totient is φ = 49756048588800.

The previous prime is 221114072507611. The next prime is 221114072507711. The reversal of 221114072507640 is 46705270411122.

It is a junction number, because it is equal to n+sod(n) for n = 221114072507592 and 221114072507601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69510866850 + ... + 69510870030.

It is an arithmetic number, because the mean of its divisors is an integer number (760437701100).

Almost surely, 2^{221114072507640} is an apocalyptic number.

221114072507640 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 221114072507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389344102963200).

221114072507640 is an abundant number, since it is smaller than the sum of its proper divisors (557574133418760).

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

221114072507640 is a wasteful number, since it uses less digits than its factorization.

221114072507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 221114072507640 in words is "two hundred twenty-one trillion, one hundred fourteen billion, seventy-two million, five hundred seven thousand, six hundred forty".