16953226760448 has 360 divisors, whose sum is σ = 55161884596896. Its totient is φ = 5135958835200.

The previous prime is 16953226760419. The next prime is 16953226760453. The reversal of 16953226760448 is 84406762235961.

16953226760448 is a `hidden beast` number, since 1 + 6 + 9 + 53 + 22 + 67 + 60 + 448 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124733840 + ... + 1124748912.

It is a 1-persistent number, because it is pandigital, but 2⋅16953226760448 = 33906453520896 is not.

Almost surely, 2^{16953226760448} is an apocalyptic number.

16953226760448 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 16953226760448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27580942298448).

16953226760448 is an abundant number, since it is smaller than the sum of its proper divisors (38208657836448).

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

16953226760448 is a wasteful number, since it uses less digits than its factorization.

16953226760448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20043 (or 20020 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 16953226760448 in words is "sixteen trillion, nine hundred fifty-three billion, two hundred twenty-six million, seven hundred sixty thousand, four hundred forty-eight".