16454969924640 has 768 divisors, whose sum is σ = 58529448198144. Its totient is φ = 3858488524800.

The previous prime is 16454969924599. The next prime is 16454969924641. The reversal of 16454969924640 is 4642996945461.

It is not an unprimeable number, because it can be changed into a prime (16454969924641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3218258724 + ... + 3218263836.

It is an arithmetic number, because the mean of its divisors is an integer number (76210219008).

Almost surely, 2^{16454969924640} is an apocalyptic number.

16454969924640 is a gapful number since it is divisible by the number (10) 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 16454969924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29264724099072).

16454969924640 is an abundant number, since it is smaller than the sum of its proper divisors (42074478273504).

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

16454969924640 is a wasteful number, since it uses less digits than its factorization.

16454969924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 69.

The spelling of 16454969924640 in words is "sixteen trillion, four hundred fifty-four billion, nine hundred sixty-nine million, nine hundred twenty-four thousand, six hundred forty".