16011334467360 has 384 divisors, whose sum is σ = 58068831744000. Its totient is φ = 4117600521216.

The previous prime is 16011334467329. The next prime is 16011334467367. The reversal of 16011334467360 is 6376443311061.

It is a happy number.

16011334467360 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 133 + 446 + 73 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16011334467367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14129511 + ... + 15220569.

It is an arithmetic number, because the mean of its divisors is an integer number (151220916000).

Almost surely, 2^{16011334467360} is an apocalyptic number.

16011334467360 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 16011334467360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29034415872000).

16011334467360 is an abundant number, since it is smaller than the sum of its proper divisors (42057497276640).

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

16011334467360 is a wasteful number, since it uses less digits than its factorization.

16011334467360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091205 (or 1091191 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 16011334467360 in words is "sixteen trillion, eleven billion, three hundred thirty-four million, four hundred sixty-seven thousand, three hundred sixty".