221362071840 has 1152 divisors, whose sum is σ = 994008637440. Its totient is φ = 43553562624.

The previous prime is 221362071787. The next prime is 221362071841. The reversal of 221362071840 is 48170263122.

It is a happy number.

221362071840 is a `hidden beast` number, since 2 + 2 + 13 + 620 + 7 + 18 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221362071795 and 221362071804.

It is not an unprimeable number, because it can be changed into a prime (221362071841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166813257 + ... + 166814583.

It is an arithmetic number, because the mean of its divisors is an integer number (862854720).

Almost surely, 2^221362071840 is an apocalyptic number.

221362071840 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 221362071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497004318720).

221362071840 is an abundant number, since it is smaller than the sum of its proper divisors (772646565600).

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

221362071840 is a wasteful number, since it uses less digits than its factorization.

221362071840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 221362071840 in words is "two hundred twenty-one billion, three hundred sixty-two million, seventy-one thousand, eight hundred forty".