16628711666112 has 1792 divisors, whose sum is σ = 67187166412800. Its totient is φ = 3907996139520.

The previous prime is 16628711666111. The next prime is 16628711666143. The reversal of 16628711666112 is 21166611782661.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16628711666111) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4191757953 + ... + 4191761919.

It is an arithmetic number, because the mean of its divisors is an integer number (37492838400).

Almost surely, 2^{16628711666112} is an apocalyptic number.

16628711666112 is a gapful number since it is divisible by the number (12) 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 16628711666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33593583206400).

16628711666112 is an abundant number, since it is smaller than the sum of its proper divisors (50558454746688).

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

16628711666112 is a wasteful number, since it uses less digits than its factorization.

16628711666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4095 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 16628711666112 in words is "sixteen trillion, six hundred twenty-eight billion, seven hundred eleven million, six hundred sixty-six thousand, one hundred twelve".