16345038489920 has 448 divisors, whose sum is σ = 48680388288000. Its totient is φ = 5208858869760.

The previous prime is 16345038489917. The next prime is 16345038490021. The reversal of 16345038489920 is 2998483054361.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 110454380 + ... + 110602260.

It is an arithmetic number, because the mean of its divisors is an integer number (108661581000).

Almost surely, 2^{16345038489920} is an apocalyptic number.

16345038489920 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 16345038489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24340194144000).

16345038489920 is an abundant number, since it is smaller than the sum of its proper divisors (32335349798080).

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

16345038489920 is a wasteful number, since it uses less digits than its factorization.

16345038489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147991 (or 147967 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 62.

The spelling of 16345038489920 in words is "sixteen trillion, three hundred forty-five billion, thirty-eight million, four hundred eighty-nine thousand, nine hundred twenty".