16145630208 has 220 divisors, whose sum is σ = 49526501772. Its totient is φ = 5235425280.

The previous prime is 16145630197. The next prime is 16145630233. The reversal of 16145630208 is 80203654161.

It is a happy number.

16145630208 is a `hidden beast` number, since 1 + 6 + 14 + 5 + 630 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13337478144 + 2808152064 = 115488^2 + 52992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3066298 + ... + 3071558.

Almost surely, 2^16145630208 is an apocalyptic number.

16145630208 is a gapful number since it is divisible by the number (18) 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 16145630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24763250886).

16145630208 is an abundant number, since it is smaller than the sum of its proper divisors (33380871564).

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

16145630208 is an equidigital number, since it uses as much as digits as its factorization.

16145630208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16145630208 in words is "sixteen billion, one hundred forty-five million, six hundred thirty thousand, two hundred eight".