8416319639616 has 560 divisors, whose sum is σ = 29964520955776. Its totient is φ = 2285245218816.

The previous prime is 8416319639591. The next prime is 8416319639617. The reversal of 8416319639616 is 6169369136148.

8416319639616 is a `hidden beast` number, since 8 + 4 + 1 + 6 + 3 + 1 + 9 + 6 + 3 + 9 + 616 = 666.

It is a super-2 number, since 2×8416319639616² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (8416319639617) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57661320 + ... + 57807096.

Almost surely, 2^{8416319639616} is an apocalyptic number.

8416319639616 is a gapful number since it is divisible by the number (86) 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 8416319639616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982260477888).

8416319639616 is an abundant number, since it is smaller than the sum of its proper divisors (21548201316160).

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

8416319639616 is a wasteful number, since it uses less digits than its factorization.

8416319639616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145888 (or 145869 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 8416319639616 in words is "eight trillion, four hundred sixteen billion, three hundred nineteen million, six hundred thirty-nine thousand, six hundred sixteen".