16349541120 has 576 divisors, whose sum is σ = 65519193600. Its totient is φ = 3824271360.

The previous prime is 16349541107. The next prime is 16349541133. The reversal of 16349541120 is 2114594361.

It is a happy number.

16349541120 is a `hidden beast` number, since 1 + 6 + 3 + 495 + 41 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (16349541107) and next prime (16349541133).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11023899 + ... + 11025381.

It is an arithmetic number, because the mean of its divisors is an integer number (113748600).

Almost surely, 2^16349541120 is an apocalyptic number.

16349541120 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 16349541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32759596800).

16349541120 is an abundant number, since it is smaller than the sum of its proper divisors (49169652480).

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

16349541120 is a wasteful number, since it uses less digits than its factorization.

16349541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16349541120 in words is "sixteen billion, three hundred forty-nine million, five hundred forty-one thousand, one hundred twenty".