10982201616 has 225 divisors, whose sum is σ = 33045180949. Its totient is φ = 3521145600.

The previous prime is 10982201579. The next prime is 10982201617. The reversal of 10982201616 is 61610228901.

The square root of 10982201616 is 104796.

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

10982201616 is a `hidden beast` number, since 10 + 9 + 8 + 2 + 20 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 529184016 + 10453017600 = 23004^2 + 102240^2 .

It is a super-2 number, since 2×10982201616² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10982201617) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 154678861 + ... + 154678931.

Almost surely, 2^10982201616 is an apocalyptic number.

10982201616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10982201616 is the 104796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10982201616

10982201616 is an abundant number, since it is smaller than the sum of its proper divisors (22062979333).

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

10982201616 is an frugal number, since it uses more digits than its factorization.

10982201616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 10982201616 by its sum of digits (36), we get a square (395359258176 = 628776²).

10982201616 divided by its sum of digits (36) gives a square (305061156 = 17466²).

The spelling of 10982201616 in words is "ten billion, nine hundred eighty-two million, two hundred one thousand, six hundred sixteen".