16922886428448 has 3456 divisors, whose sum is σ = 72351007432704. Its totient is φ = 3818774937600.

The previous prime is 16922886428407. The next prime is 16922886428453. The reversal of 16922886428448 is 84482468822961.

16922886428448 is a `hidden beast` number, since 1 + 6 + 9 + 2 + 288 + 64 + 284 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 72630413740 + ... + 72630413972.

It is an arithmetic number, because the mean of its divisors is an integer number (20934897984).

Almost surely, 2^{16922886428448} is an apocalyptic number.

16922886428448 is a gapful number since it is divisible by the number (18) 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 16922886428448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36175503716352).

16922886428448 is an abundant number, since it is smaller than the sum of its proper divisors (55428121004256).

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

16922886428448 is a wasteful number, since it uses less digits than its factorization.

16922886428448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 343 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

The spelling of 16922886428448 in words is "sixteen trillion, nine hundred twenty-two billion, eight hundred eighty-six million, four hundred twenty-eight thousand, four hundred forty-eight".