10982644628901 has 64 divisors (see below), whose sum is σ = 16518091898880. Its totient is φ = 6433280763840.

The previous prime is 10982644628867. The next prime is 10982644628959.

It is a happy number.

10982644628901 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10982644628901 - 2¹¹ = 10982644626853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10982644628981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68942020 + ... + 69101138.

It is an arithmetic number, because the mean of its divisors is an integer number (258095185920).

Almost surely, 2^{10982644628901} is an apocalyptic number.

10982644628901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10982644628901 is a deficient number, since it is larger than the sum of its proper divisors (5535447269979).

10982644628901 is a wasteful number, since it uses less digits than its factorization.

10982644628901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159686.

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 10982644628901 in words is "ten trillion, nine hundred eighty-two billion, six hundred forty-four million, six hundred twenty-eight thousand, nine hundred one".