616122328536 has 192 divisors, whose sum is σ = 1960906540320. Its totient is φ = 172296437760.

The previous prime is 616122328517. The next prime is 616122328559. The reversal of 616122328536 is 635823221616.

616122328536 is a `hidden beast` number, since 6 + 1 + 61 + 22 + 32 + 8 + 536 = 666.

616122328536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×616122328536³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 616122328491 and 616122328500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65035096 + ... + 65044568.

Almost surely, 2^616122328536 is an apocalyptic number.

616122328536 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 616122328536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980453270160).

616122328536 is an abundant number, since it is smaller than the sum of its proper divisors (1344784211784).

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

616122328536 is a wasteful number, since it uses less digits than its factorization.

616122328536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15826 (or 15819 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 616122328536 in words is "six hundred sixteen billion, one hundred twenty-two million, three hundred twenty-eight thousand, five hundred thirty-six".