221980378549248 has 440 divisors, whose sum is σ = 734993247887184. Its totient is φ = 66164030668800.

The previous prime is 221980378549229. The next prime is 221980378549289. The reversal of 221980378549248 is 842945873089122.

221980378549248 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 8 + 0 + 3 + 78 + 549 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×221980378549248² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53661186 + ... + 57649662.

Almost surely, 2^{221980378549248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221980378549248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367496623943592).

221980378549248 is an abundant number, since it is smaller than the sum of its proper divisors (513012869337936).

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

221980378549248 is a wasteful number, since it uses less digits than its factorization.

221980378549248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988581 (or 3988554 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 221980378549248 in words is "two hundred twenty-one trillion, nine hundred eighty billion, three hundred seventy-eight million, five hundred forty-nine thousand, two hundred forty-eight".