10221678602496 has 243 divisors, whose sum is σ = 30192436614249. Its totient is φ = 3325839906816.

The previous prime is 10221678602491. The next prime is 10221678602537. The reversal of 10221678602496 is 69420687612201.

The square root of 10221678602496 is 3197136.

It is a perfect power (a square), and thus also a powerful number.

10221678602496 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 6 + 7 + 8 + 602 + 4 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3458350192896 + 6763328409600 = 1859664^2 + 2600640^2 .

It is not an unprimeable number, because it can be changed into a prime (10221678602491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6598887930 + ... + 6598889478.

Almost surely, 2^{10221678602496} is an apocalyptic number.

10221678602496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10221678602496 is the 3197136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221678602496

10221678602496 is an abundant number, since it is smaller than the sum of its proper divisors (19970758011753).

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

10221678602496 is an frugal number, since it uses more digits than its factorization.

10221678602496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10221678602496 in words is "ten trillion, two hundred twenty-one billion, six hundred seventy-eight million, six hundred two thousand, four hundred ninety-six".