16146444214560 has 192 divisors, whose sum is σ = 55487763072000. Its totient is φ = 3914098375680.

The previous prime is 16146444214547. The next prime is 16146444214561. The reversal of 16146444214560 is 6541244464161.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16146444214561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 129292309 + ... + 129417131.

It is an arithmetic number, because the mean of its divisors is an integer number (288998766000).

Almost surely, 2^{16146444214560} is an apocalyptic number.

16146444214560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16146444214560 is an abundant number, since it is smaller than the sum of its proper divisors (39341318857440).

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

16146444214560 is a wasteful number, since it uses less digits than its factorization.

16146444214560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149351 (or 149343 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 16146444214560 in words is "sixteen trillion, one hundred forty-six billion, four hundred forty-four million, two hundred fourteen thousand, five hundred sixty".