221656506310140 has 384 divisors, whose sum is σ = 724877804851200. Its totient is φ = 50036775874560.

The previous prime is 221656506310033. The next prime is 221656506310189. The reversal of 221656506310140 is 41013605656122.

It is a junction number, because it is equal to n+sod(n) for n = 221656506310092 and 221656506310101.

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, 6512970564 + ... + 6513004596.

It is an arithmetic number, because the mean of its divisors is an integer number (1887702616800).

Almost surely, 2^{221656506310140} is an apocalyptic number.

221656506310140 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 221656506310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362438902425600).

221656506310140 is an abundant number, since it is smaller than the sum of its proper divisors (503221298541060).

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

221656506310140 is a wasteful number, since it uses less digits than its factorization.

221656506310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42937 (or 42935 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 221656506310140 in words is "two hundred twenty-one trillion, six hundred fifty-six billion, five hundred six million, three hundred ten thousand, one hundred forty".