16116409391104 has 384 divisors, whose sum is σ = 38118424780800. Its totient is φ = 6732345507840.

The previous prime is 16116409391087. The next prime is 16116409391111. The reversal of 16116409391104 is 40119390461161.

It is a happy number.

It is a super-3 number, since 3×16116409391104³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6065640144 + ... + 6065642800.

It is an arithmetic number, because the mean of its divisors is an integer number (99266731200).

Almost surely, 2^{16116409391104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16116409391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19059212390400).

16116409391104 is an abundant number, since it is smaller than the sum of its proper divisors (22002015389696).

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

16116409391104 is a wasteful number, since it uses less digits than its factorization.

16116409391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 16116409391104 in words is "sixteen trillion, one hundred sixteen billion, four hundred nine million, three hundred ninety-one thousand, one hundred four".