16454802331968 has 672 divisors, whose sum is σ = 58934475740160. Its totient is φ = 3934571397120.

The previous prime is 16454802331937. The next prime is 16454802331993. The reversal of 16454802331968 is 86913320845461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946921296 + ... + 946938672.

Almost surely, 2^{16454802331968} 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 16454802331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29467237870080).

16454802331968 is an abundant number, since it is smaller than the sum of its proper divisors (42479673408192).

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

16454802331968 is a wasteful number, since it uses less digits than its factorization.

16454802331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17815 (or 17792 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 16454802331968 in words is "sixteen trillion, four hundred fifty-four billion, eight hundred two million, three hundred thirty-one thousand, nine hundred sixty-eight".