612984404142 has 96 divisors (see below), whose sum is σ = 1538150964480. Its totient is φ = 174364565760.

The previous prime is 612984404141. The next prime is 612984404143. The reversal of 612984404142 is 241404489216.

612984404142 is a `hidden beast` number, since 6 + 1 + 29 + 84 + 404 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (612984404141) and next prime (612984404143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612984404141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035463 + ... + 1515965.

It is an arithmetic number, because the mean of its divisors is an integer number (16022405880).

Almost surely, 2^612984404142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612984404142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769075482240).

612984404142 is an abundant number, since it is smaller than the sum of its proper divisors (925166560338).

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

612984404142 is a wasteful number, since it uses less digits than its factorization.

612984404142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480918 (or 480915 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 612984404142 in words is "six hundred twelve billion, nine hundred eighty-four million, four hundred four thousand, one hundred forty-two".