16022254738116 has 384 divisors, whose sum is σ = 45211248230400. Its totient is φ = 4361542848000.

The previous prime is 16022254738099. The next prime is 16022254738141. The reversal of 16022254738116 is 61183745222061.

16022254738116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16022254738116² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3786869721 + ... + 3786873951.

It is an arithmetic number, because the mean of its divisors is an integer number (117737625600).

Almost surely, 2^{16022254738116} 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 16022254738116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22605624115200).

16022254738116 is an abundant number, since it is smaller than the sum of its proper divisors (29188993492284).

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

16022254738116 is a wasteful number, since it uses less digits than its factorization.

16022254738116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 16022254738116 in words is "sixteen trillion, twenty-two billion, two hundred fifty-four million, seven hundred thirty-eight thousand, one hundred sixteen".