221426606733120 has 896 divisors, whose sum is σ = 803364566008320. Its totient is φ = 58109715062784.

The previous prime is 221426606733109. The next prime is 221426606733131. The reversal of 221426606733120 is 21337606624122.

221426606733120 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 6 + 606 + 7 + 3 + 31 + 2 + 0 = 666.

221426606733120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221426606733109) and next prime (221426606733131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74882178682 + ... + 74882181638.

Almost surely, 2^{221426606733120} is an apocalyptic number.

221426606733120 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 221426606733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401682283004160).

221426606733120 is an abundant number, since it is smaller than the sum of its proper divisors (581937959275200).

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

221426606733120 is an equidigital number, since it uses as much as digits as its factorization.

221426606733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 221426606733120 in words is "two hundred twenty-one trillion, four hundred twenty-six billion, six hundred six million, seven hundred thirty-three thousand, one hundred twenty".