16081964900 has 72 divisors (see below), whose sum is σ = 36517740840. Its totient is φ = 6140759040.

The previous prime is 16081964893. The next prime is 16081964911. The reversal of 16081964900 is 946918061.

It can be written as a sum of positive squares in 12 ways, for example, as 167133184 + 15914831716 = 12928^2 + 126154^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155096 + ... + 237104.

It is an arithmetic number, because the mean of its divisors is an integer number (507190845).

Almost surely, 2^16081964900 is an apocalyptic number.

16081964900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16081964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258870420).

16081964900 is an abundant number, since it is smaller than the sum of its proper divisors (20435775940).

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

16081964900 is a wasteful number, since it uses less digits than its factorization.

16081964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82113 (or 82106 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 16081964900 in words is "sixteen billion, eighty-one million, nine hundred sixty-four thousand, nine hundred".