16283613199392 has 576 divisors, whose sum is σ = 58873326640128. Its totient is φ = 4146557184000.

The previous prime is 16283613199391. The next prime is 16283613199411. The reversal of 16283613199392 is 29399131638261.

16283613199392 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 3 + 613 + 1 + 9 + 9 + 3 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (16283613199391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313476142 + ... + 313528082.

It is an arithmetic number, because the mean of its divisors is an integer number (102210636528).

Almost surely, 2^{16283613199392} is an apocalyptic number.

16283613199392 is a gapful number since it is divisible by the number (12) 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 16283613199392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29436663320064).

16283613199392 is an abundant number, since it is smaller than the sum of its proper divisors (42589713440736).

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

16283613199392 is a wasteful number, since it uses less digits than its factorization.

16283613199392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52253 (or 52242 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 16283613199392 in words is "sixteen trillion, two hundred eighty-three billion, six hundred thirteen million, one hundred ninety-nine thousand, three hundred ninety-two".