97729412616 has 144 divisors (see below), whose sum is σ = 292072189500. Its totient is φ = 29499064320.

The previous prime is 97729412597. The next prime is 97729412639. The reversal of 97729412616 is 61621492779.

97729412616 is a `hidden beast` number, since 9 + 7 + 7 + 2 + 9 + 4 + 12 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87465696516 + 10263716100 = 295746^2 + 101310^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2217160 + ... + 2260808.

Almost surely, 2^97729412616 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 97729412616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146036094750).

97729412616 is an abundant number, since it is smaller than the sum of its proper divisors (194342776884).

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

97729412616 is a wasteful number, since it uses less digits than its factorization.

97729412616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43940 (or 43922 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 97729412616 in words is "ninety-seven billion, seven hundred twenty-nine million, four hundred twelve thousand, six hundred sixteen".