34014514144 has 48 divisors (see below), whose sum is σ = 73133111520. Its totient is φ = 15477880320.

The previous prime is 34014514139. The next prime is 34014514181. The reversal of 34014514144 is 44141541043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546279 + ... + 605350.

It is an arithmetic number, because the mean of its divisors is an integer number (1523606490).

Almost surely, 2^34014514144 is an apocalyptic number.

It is an amenable number.

34014514144 is an abundant number, since it is smaller than the sum of its proper divisors (39118597376).

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

34014514144 is a wasteful number, since it uses less digits than its factorization.

34014514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151723 (or 1151715 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 34014514144 in words is "thirty-four billion, fourteen million, five hundred fourteen thousand, one hundred forty-four".