16642601316 has 144 divisors (see below), whose sum is σ = 50269040640. Its totient is φ = 4582824960.

The previous prime is 16642601309. The next prime is 16642601321. The reversal of 16642601316 is 61310624661.

It is a happy number.

16642601316 is a `hidden beast` number, since 1 + 6 + 6 + 42 + 601 + 3 + 1 + 6 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152605 + ... + 237851.

It is an arithmetic number, because the mean of its divisors is an integer number (349090560).

Almost surely, 2^16642601316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16642601316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25134520320).

16642601316 is an abundant number, since it is smaller than the sum of its proper divisors (33626439324).

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

16642601316 is a wasteful number, since it uses less digits than its factorization.

16642601316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85314 (or 85309 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16642601316 in words is "sixteen billion, six hundred forty-two million, six hundred one thousand, three hundred sixteen".