16117686465216 has 224 divisors, whose sum is σ = 50755783680000. Its totient is φ = 4416416083968.

The previous prime is 16117686465137. The next prime is 16117686465239. The reversal of 16117686465216 is 61256468671161.

16117686465216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 16117686465216.

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, 4419745 + ... + 7195103.

It is an arithmetic number, because the mean of its divisors is an integer number (226588320000).

Almost surely, 2^{16117686465216} is an apocalyptic number.

16117686465216 is a gapful number since it is divisible by the number (16) 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 16117686465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25377891840000).

16117686465216 is an abundant number, since it is smaller than the sum of its proper divisors (34638097214784).

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

16117686465216 is a wasteful number, since it uses less digits than its factorization.

16117686465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775559 (or 2775549 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 16117686465216 in words is "sixteen trillion, one hundred seventeen billion, six hundred eighty-six million, four hundred sixty-five thousand, two hundred sixteen".