34141512144 has 160 divisors (see below), whose sum is σ = 92079106560. Its totient is φ = 10893459456.

The previous prime is 34141512143. The next prime is 34141512149. The reversal of 34141512144 is 44121514143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141512143) 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, 19475172 + ... + 19476924.

It is an arithmetic number, because the mean of its divisors is an integer number (575494416).

Almost surely, 2^34141512144 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 34141512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46039553280).

34141512144 is an abundant number, since it is smaller than the sum of its proper divisors (57937594416).

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

34141512144 is a wasteful number, since it uses less digits than its factorization.

34141512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1991 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The spelling of 34141512144 in words is "thirty-four billion, one hundred forty-one million, five hundred twelve thousand, one hundred forty-four".