16801145166400 has 189 divisors, whose sum is σ = 48094206083049. Its totient is φ = 5759999132160.

The previous prime is 16801145166341. The next prime is 16801145166437. The reversal of 16801145166400 is 466154110861.

The square root of 16801145166400 is 4098920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6048412259904 + 10752732906496 = 2459352^2 + 3279136^2 .

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 26 ways as a sum of consecutive naturals, for example, 1147690281 + ... + 1147704919.

Almost surely, 2^{16801145166400} is an apocalyptic number.

16801145166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16801145166400 is the 4098920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16801145166400

16801145166400 is an abundant number, since it is smaller than the sum of its proper divisors (31293060916649).

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

16801145166400 is an frugal number, since it uses more digits than its factorization.

16801145166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29314 (or 14653 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 16801145166400 in words is "sixteen trillion, eight hundred one billion, one hundred forty-five million, one hundred sixty-six thousand, four hundred".