438454674757168 has 120 divisors (see below), whose sum is σ = 903035659518720. Its totient is φ = 206190069580800.

The previous prime is 438454674757129. The next prime is 438454674757247. The reversal of 438454674757168 is 861757476454834.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66929423493 + ... + 66929430043.

It is an arithmetic number, because the mean of its divisors is an integer number (7525297162656).

Almost surely, 2^{438454674757168} 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 438454674757168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451517829759360).

438454674757168 is an abundant number, since it is smaller than the sum of its proper divisors (464580984761552).

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

438454674757168 is a wasteful number, since it uses less digits than its factorization.

438454674757168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14315 (or 14292 counting only the distinct ones).

The product of its digits is 15173222400, while the sum is 79.

The spelling of 438454674757168 in words is "four hundred thirty-eight trillion, four hundred fifty-four billion, six hundred seventy-four million, seven hundred fifty-seven thousand, one hundred sixty-eight".