16397001216 has 180 divisors, whose sum is σ = 49949687502. Its totient is φ = 5177475072.

The previous prime is 16397001163. The next prime is 16397001217. The reversal of 16397001216 is 61210079361.

16397001216 is a `hidden beast` number, since 1 + 639 + 7 + 0 + 0 + 1 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14712719616 + 1684281600 = 121296^2 + 41040^2 .

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 (16397001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1658560 + ... + 1668416.

Almost surely, 2^16397001216 is an apocalyptic number.

16397001216 is a gapful number since it is divisible by the number (16) 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 16397001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24974843751).

16397001216 is an abundant number, since it is smaller than the sum of its proper divisors (33552686286).

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

16397001216 is an equidigital number, since it uses as much as digits as its factorization.

16397001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 16397001216 in words is "sixteen billion, three hundred ninety-seven million, one thousand, two hundred sixteen".