42516331164 has 48 divisors (see below), whose sum is σ = 110265120000. Its totient is φ = 14167276848.

The previous prime is 42516331139. The next prime is 42516331183. The reversal of 42516331164 is 46113361524.

42516331164 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 633 + 1 + 16 + 4 = 666.

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 15 ways as a sum of consecutive naturals, for example, 258259 + ... + 389525.

It is an arithmetic number, because the mean of its divisors is an integer number (2297190000).

Almost surely, 2^42516331164 is an apocalyptic number.

It is an amenable number.

42516331164 is an abundant number, since it is smaller than the sum of its proper divisors (67748788836).

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

42516331164 is a wasteful number, since it uses less digits than its factorization.

42516331164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134279 (or 134271 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 42516331164 its reverse (46113361524), we get a palindrome (88629692688).

It can be divided in two parts, 42516 and 331164, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 42516331164 in words is "forty-two billion, five hundred sixteen million, three hundred thirty-one thousand, one hundred sixty-four".