42684428164152 has 64 divisors (see below), whose sum is σ = 106761895004160. Its totient is φ = 14221367740800.

The previous prime is 42684428164151. The next prime is 42684428164153. The reversal of 42684428164152 is 25146182448624.

42684428164152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42684428164151) and next prime (42684428164153).

It is a super-3 number, since 3×42684428164152³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42684428164092 and 42684428164101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42684428164151) 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 15 ways as a sum of consecutive naturals, for example, 458418033 + ... + 458511135.

It is an arithmetic number, because the mean of its divisors is an integer number (1668154609440).

Almost surely, 2^{42684428164152} is an apocalyptic number.

It is an amenable number.

42684428164152 is an abundant number, since it is smaller than the sum of its proper divisors (64077466840008).

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

42684428164152 is a wasteful number, since it uses less digits than its factorization.

42684428164152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102004 (or 102000 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 57.

The spelling of 42684428164152 in words is "forty-two trillion, six hundred eighty-four billion, four hundred twenty-eight million, one hundred sixty-four thousand, one hundred fifty-two".