16045662420 has 288 divisors, whose sum is σ = 51943731840. Its totient is φ = 4003614720.

The previous prime is 16045662419. The next prime is 16045662421. The reversal of 16045662420 is 2426654061.

16045662420 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 5 + 6 + 624 + 20 = 666.

16045662420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16045662419) and next prime (16045662421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16045662421) 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 95 ways as a sum of consecutive naturals, for example, 18722632 + ... + 18723488.

It is an arithmetic number, because the mean of its divisors is an integer number (180360180).

Almost surely, 2^16045662420 is an apocalyptic number.

16045662420 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 16045662420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25971865920).

16045662420 is an abundant number, since it is smaller than the sum of its proper divisors (35898069420).

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

16045662420 is a wasteful number, since it uses less digits than its factorization.

16045662420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16045662420 in words is "sixteen billion, forty-five million, six hundred sixty-two thousand, four hundred twenty".