16461576100 has 144 divisors (see below), whose sum is σ = 38310547968. Its totient is φ = 6125109760.

The previous prime is 16461576091. The next prime is 16461576127. The reversal of 16461576100 is 167516461.

It is a self number, because there is not a number n which added to its sum of digits gives 16461576100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21295314 + ... + 21296086.

It is an arithmetic number, because the mean of its divisors is an integer number (266045472).

Almost surely, 2^16461576100 is an apocalyptic number.

16461576100 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 16461576100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155273984).

16461576100 is an abundant number, since it is smaller than the sum of its proper divisors (21848971868).

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

16461576100 is a wasteful number, since it uses less digits than its factorization.

16461576100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 16461576100 in words is "sixteen billion, four hundred sixty-one million, five hundred seventy-six thousand, one hundred".