16700465712 has 320 divisors, whose sum is σ = 55346457600. Its totient is φ = 4228546560.

The previous prime is 16700465711. The next prime is 16700465723. The reversal of 16700465712 is 21756400761.

16700465712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16700465711) 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 63 ways as a sum of consecutive naturals, for example, 6790339 + ... + 6792797.

It is an arithmetic number, because the mean of its divisors is an integer number (172957680).

Almost surely, 2^16700465712 is an apocalyptic number.

16700465712 is a gapful number since it is divisible by the number (12) 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 16700465712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673228800).

16700465712 is an abundant number, since it is smaller than the sum of its proper divisors (38645991888).

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

16700465712 is a wasteful number, since it uses less digits than its factorization.

16700465712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 16700465712 in words is "sixteen billion, seven hundred million, four hundred sixty-five thousand, seven hundred twelve".