109828611216 has 45 divisors (see below), whose sum is σ = 307378701721. Its totient is φ = 36608211456.

The previous prime is 109828611119. The next prime is 109828611223. The reversal of 109828611216 is 612116828901.

It is a happy number.

The square root of 109828611216 is 331404.

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

109828611216 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 2 + 8 + 611 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 109757039616 = 8460^2 + 331296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3963040 + ... + 3990656.

Almost surely, 2^109828611216 is an apocalyptic number.

109828611216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109828611216 is the 331404-th square number.

It is an amenable number.

109828611216 is an abundant number, since it is smaller than the sum of its proper divisors (197550090505).

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

109828611216 is an frugal number, since it uses more digits than its factorization.

109828611216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55248 (or 27622 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 109828611216 in words is "one hundred nine billion, eight hundred twenty-eight million, six hundred eleven thousand, two hundred sixteen".