16313481216 has 384 divisors, whose sum is σ = 51325747200. Its totient is φ = 5109350400.

The previous prime is 16313481209. The next prime is 16313481251. The reversal of 16313481216 is 61218431361.

16313481216 is a `hidden beast` number, since 1 + 631 + 3 + 4 + 8 + 1 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16313481216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (20736) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128452545 + ... + 128452671.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^16313481216 is an apocalyptic number.

16313481216 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 16313481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

16313481216 is an abundant number, since it is smaller than the sum of its proper divisors (35012265984).

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

16313481216 is a wasteful number, since it uses less digits than its factorization.

16313481216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 16313481216 in words is "sixteen billion, three hundred thirteen million, four hundred eighty-one thousand, two hundred sixteen".