221852077170048 has 192 divisors, whose sum is σ = 687600138170400. Its totient is φ = 68253261963264.

The previous prime is 221852077169977. The next prime is 221852077170071. The reversal of 221852077170048 is 840071770258122.

221852077170048 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 520 + 7 + 7 + 1 + 70 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 221852077169976 and 221852077170003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114156948 + ... + 116084076.

Almost surely, 2^{221852077170048} 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 221852077170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343800069085200).

221852077170048 is an abundant number, since it is smaller than the sum of its proper divisors (465748061000352).

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

221852077170048 is a wasteful number, since it uses less digits than its factorization.

221852077170048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934849 (or 1934834 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 221852077170048 in words is "two hundred twenty-one trillion, eight hundred fifty-two billion, seventy-seven million, one hundred seventy thousand, forty-eight".