16145442096 has 160 divisors (see below), whose sum is σ = 50784035328. Its totient is φ = 4314746880.

The previous prime is 16145442091. The next prime is 16145442121. The reversal of 16145442096 is 69024454161.

16145442096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16145442096³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (16145442091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922386 + ... + 939726.

Almost surely, 2^16145442096 is an apocalyptic number.

16145442096 is a gapful number since it is divisible by the number (16) 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 16145442096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25392017664).

16145442096 is an abundant number, since it is smaller than the sum of its proper divisors (34638593232).

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

16145442096 is a wasteful number, since it uses less digits than its factorization.

16145442096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17539 (or 17533 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 16145442096 in words is "sixteen billion, one hundred forty-five million, four hundred forty-two thousand, ninety-six".