16481291904 has 864 divisors, whose sum is σ = 64335398400. Its totient is φ = 4023613440.

The previous prime is 16481291891. The next prime is 16481291941. The reversal of 16481291904 is 40919218461.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16481291904.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 129773889 + ... + 129774015.

Almost surely, 2^16481291904 is an apocalyptic number.

16481291904 is a gapful number since it is divisible by the number (14) 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 16481291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32167699200).

16481291904 is an abundant number, since it is smaller than the sum of its proper divisors (47854106496).

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

16481291904 is a wasteful number, since it uses less digits than its factorization.

16481291904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 16481291904 in words is "sixteen billion, four hundred eighty-one million, two hundred ninety-one thousand, nine hundred four".