34509891238144 has 405 divisors, whose sum is σ = 82394901984507. Its totient is φ = 14424793721856.

The previous prime is 34509891238129. The next prime is 34509891238181. The reversal of 34509891238144 is 44183219890543.

The square root of 34509891238144 is 5874512.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 271731427009 + ... + 271731427135.

Almost surely, 2^{34509891238144} is an apocalyptic number.

34509891238144 is the 5874512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34509891238144

34509891238144 is an abundant number, since it is smaller than the sum of its proper divisors (47885010746363).

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

34509891238144 is an frugal number, since it uses more digits than its factorization.

34509891238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 34509891238144 in words is "thirty-four trillion, five hundred nine billion, eight hundred ninety-one million, two hundred thirty-eight thousand, one hundred forty-four".