612404101404216 has 144 divisors (see below), whose sum is σ = 1823198297029200. Its totient is φ = 185565278891520.

The previous prime is 612404101404113. The next prime is 612404101404239.

612404101404216 is a `hidden beast` number, since 6 + 1 + 24 + 0 + 4 + 10 + 1 + 404 + 216 = 666.

612404101404216 is nontrivially palindromic in base 10.

612404101404216 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 3×612404101404216³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

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, 136212925 + ... + 140637011.

It is an arithmetic number, because the mean of its divisors is an integer number (12661099284925).

Almost surely, 2^{612404101404216} is an apocalyptic number.

612404101404216 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 612404101404216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911599148514600).

612404101404216 is an abundant number, since it is smaller than the sum of its proper divisors (1210794195624984).

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

612404101404216 is a wasteful number, since it uses less digits than its factorization.

612404101404216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440010 (or 4439992 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 61240410 and 1404216, that added together give a palindrome (62644626).

The spelling of 612404101404216 in words is "six hundred twelve trillion, four hundred four billion, one hundred one million, four hundred four thousand, two hundred sixteen".