614404116216 has 128 divisors (see below), whose sum is σ = 1862376364800. Its totient is φ = 186128496000.

The previous prime is 614404116211. The next prime is 614404116223. The reversal of 614404116216 is 612611404416.

614404116216 is a `hidden beast` number, since 6 + 1 + 440 + 41 + 162 + 16 = 666.

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 (614404116211) 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, 8472351 + ... + 8544561.

It is an arithmetic number, because the mean of its divisors is an integer number (14549815350).

Almost surely, 2^614404116216 is an apocalyptic number.

614404116216 is a gapful number since it is divisible by the number (66) 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 614404116216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931188182400).

614404116216 is an abundant number, since it is smaller than the sum of its proper divisors (1247972248584).

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

614404116216 is a wasteful number, since it uses less digits than its factorization.

614404116216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75818 (or 75808 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 614404116216 in words is "six hundred fourteen billion, four hundred four million, one hundred sixteen thousand, two hundred sixteen".