16881146100 has 864 divisors, whose sum is σ = 68953364480. Its totient is φ = 3359232000.

The previous prime is 16881146083. The next prime is 16881146101. The reversal of 16881146100 is 164118861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16881146101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 154872846 + ... + 154872954.

Almost surely, 2^16881146100 is an apocalyptic number.

16881146100 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 16881146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476682240).

16881146100 is an abundant number, since it is smaller than the sum of its proper divisors (52072218380).

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

16881146100 is a wasteful number, since it uses less digits than its factorization.

16881146100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 16881146100 in words is "sixteen billion, eight hundred eighty-one million, one hundred forty-six thousand, one hundred".