221118194779104 has 384 divisors, whose sum is σ = 700288494796800. Its totient is φ = 59678456555520.

The previous prime is 221118194779103. The next prime is 221118194779117. The reversal of 221118194779104 is 401977491811122.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221118194779103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22583816449 + ... + 22583826239.

It is an arithmetic number, because the mean of its divisors is an integer number (1823667955200).

Almost surely, 2^{221118194779104} is an apocalyptic number.

221118194779104 is a gapful number since it is divisible by the number (24) 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 221118194779104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350144247398400).

221118194779104 is an abundant number, since it is smaller than the sum of its proper divisors (479170300017696).

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

221118194779104 is a wasteful number, since it uses less digits than its factorization.

221118194779104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14766 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 57.

The spelling of 221118194779104 in words is "two hundred twenty-one trillion, one hundred eighteen billion, one hundred ninety-four million, seven hundred seventy-nine thousand, one hundred four".