16313316864 has 320 divisors, whose sum is σ = 48589390080. Its totient is φ = 4832133120.

The previous prime is 16313316853. The next prime is 16313316869. The reversal of 16313316864 is 46861331361.

It is a super-2 number, since 2×16313316864² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16313316869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71864719 + ... + 71864945.

It is an arithmetic number, because the mean of its divisors is an integer number (151841844).

Almost surely, 2^16313316864 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 16313316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24294695040).

16313316864 is an abundant number, since it is smaller than the sum of its proper divisors (32276073216).

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

16313316864 is a wasteful number, since it uses less digits than its factorization.

16313316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 16313316864 in words is "sixteen billion, three hundred thirteen million, three hundred sixteen thousand, eight hundred sixty-four".