934104870771072 has 1024 divisors, whose sum is σ = 3375170179799040. Its totient is φ = 221039174615040.

The previous prime is 934104870771011. The next prime is 934104870771089. The reversal of 934104870771072 is 270177078401439.

It is a super-4 number, since 4×934104870771072⁴ (a number of 61 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 934104870770997 and 934104870771015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9110233918 + ... + 9110336450.

It is an arithmetic number, because the mean of its divisors is an integer number (3296064628710).

Almost surely, 2^{934104870771072} 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 934104870771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687585089899520).

934104870771072 is an abundant number, since it is smaller than the sum of its proper divisors (2441065309027968).

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

934104870771072 is a wasteful number, since it uses less digits than its factorization.

934104870771072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102891 (or 102879 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 60.

The spelling of 934104870771072 in words is "nine hundred thirty-four trillion, one hundred four billion, eight hundred seventy million, seven hundred seventy-one thousand, seventy-two".