34160460144 has 80 divisors (see below), whose sum is σ = 93955548960. Its totient is φ = 10657751040.

The previous prime is 34160460143. The next prime is 34160460151. The reversal of 34160460144 is 44106406143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34160460143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32052 + ... + 263340.

It is an arithmetic number, because the mean of its divisors is an integer number (1174444362).

Almost surely, 2^34160460144 is an apocalyptic number.

34160460144 is a gapful number since it is divisible by the number (34) 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 34160460144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46977774480).

34160460144 is an abundant number, since it is smaller than the sum of its proper divisors (59795088816).

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

34160460144 is a wasteful number, since it uses less digits than its factorization.

34160460144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231498 (or 231492 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 34160460144 its reverse (44106406143), we get a palindrome (78266866287).

The spelling of 34160460144 in words is "thirty-four billion, one hundred sixty million, four hundred sixty thousand, one hundred forty-four".