16122899100889 has 81 divisors (see below), whose sum is σ = 19503143590077. Its totient is φ = 13289531568768.

The previous prime is 16122899100877. The next prime is 16122899100937. The reversal of 16122899100889 is 98800199822161.

The square root of 16122899100889 is 4015333.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1563332610889 + 14559566490000 = 1250333^2 + 3815700^2 .

It is not a de Polignac number, because 16122899100889 - 2⁷ = 16122899100761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16122899100889.

It is not an unprimeable number, because it can be changed into a prime (16122899100859) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 117685394829 + ... + 117685394965.

Almost surely, 2^{16122899100889} is an apocalyptic number.

16122899100889 is the 4015333-rd square number.

16122899100889 is the 2007667-th centered octagonal number.

It is an amenable number.

16122899100889 is a deficient number, since it is larger than the sum of its proper divisors (3380244489188).

16122899100889 is an frugal number, since it uses more digits than its factorization.

16122899100889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 64.

The spelling of 16122899100889 in words is "sixteen trillion, one hundred twenty-two billion, eight hundred ninety-nine million, one hundred thousand, eight hundred eighty-nine".