16313931648 has 192 divisors, whose sum is σ = 55984780800. Its totient is φ = 4458415104.

The previous prime is 16313931607. The next prime is 16313931679. The reversal of 16313931648 is 84613931361.

It is a happy number.

16313931648 is a `hidden beast` number, since 1 + 631 + 3 + 9 + 3 + 1 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×16313931648² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141493 + ... + 229451.

It is an arithmetic number, because the mean of its divisors is an integer number (291587400).

Almost surely, 2^16313931648 is an apocalyptic number.

16313931648 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 16313931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27992390400).

16313931648 is an abundant number, since it is smaller than the sum of its proper divisors (39670849152).

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

16313931648 is a wasteful number, since it uses less digits than its factorization.

16313931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88009 (or 87994 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 16313931648 in words is "sixteen billion, three hundred thirteen million, nine hundred thirty-one thousand, six hundred forty-eight".