42849832464 has 160 divisors (see below), whose sum is σ = 124417036800. Its totient is φ = 14119056000.

The previous prime is 42849832453. The next prime is 42849832469. The reversal of 42849832464 is 46423894824.

It is a happy number.

It is a super-2 number, since 2×42849832464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42849832464.

It is not an unprimeable number, because it can be changed into a prime (42849832469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15070627 + ... + 15073469.

It is an arithmetic number, because the mean of its divisors is an integer number (777606480).

Almost surely, 2^42849832464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42849832464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208518400).

42849832464 is an abundant number, since it is smaller than the sum of its proper divisors (81567204336).

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

42849832464 is a wasteful number, since it uses less digits than its factorization.

42849832464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3238 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 42849832464 in words is "forty-two billion, eight hundred forty-nine million, eight hundred thirty-two thousand, four hundred sixty-four".