16506146514 has 144 divisors (see below), whose sum is σ = 40655865600. Its totient is φ = 4456932480.

The previous prime is 16506146497. The next prime is 16506146519. The reversal of 16506146514 is 41564160561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16506146519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3555807 + ... + 3560445.

It is an arithmetic number, because the mean of its divisors is an integer number (282332400).

Almost surely, 2^16506146514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16506146514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327932800).

16506146514 is an abundant number, since it is smaller than the sum of its proper divisors (24149719086).

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

16506146514 is a wasteful number, since it uses less digits than its factorization.

16506146514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

It can be divided in two parts, 165061 and 46514, that added together give a triangular number (211575 = T₆₅₀).

The spelling of 16506146514 in words is "sixteen billion, five hundred six million, one hundred forty-six thousand, five hundred fourteen".