10221783909048 has 192 divisors, whose sum is σ = 30883507488000. Its totient is φ = 3123803724480.

The previous prime is 10221783908993. The next prime is 10221783909137. The reversal of 10221783909048 is 84090938712201.

10221783909048 is a `hidden beast` number, since 102 + 21 + 7 + 8 + 390 + 90 + 48 = 666.

It is a super-2 number, since 2×10221783909048² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10221783908985 and 10221783909003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2648061 + ... + 5239827.

It is an arithmetic number, because the mean of its divisors is an integer number (160851601500).

Almost surely, 2^{10221783909048} is an apocalyptic number.

10221783909048 is a gapful number since it is divisible by the number (18) 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 10221783909048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441753744000).

10221783909048 is an abundant number, since it is smaller than the sum of its proper divisors (20661723578952).

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

10221783909048 is a wasteful number, since it uses less digits than its factorization.

10221783909048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591863 (or 2591822 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10221783909048 in words is "ten trillion, two hundred twenty-one billion, seven hundred eighty-three million, nine hundred nine thousand, forty-eight".