8933966694144 has 432 divisors, whose sum is σ = 28418817772800. Its totient is φ = 2686632689664.

The previous prime is 8933966694101. The next prime is 8933966694181. The reversal of 8933966694144 is 4414966693398.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228534952 + ... + 228574040.

It is an arithmetic number, because the mean of its divisors is an integer number (65784300400).

Almost surely, 2^{8933966694144} 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 8933966694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209408886400).

8933966694144 is an abundant number, since it is smaller than the sum of its proper divisors (19484851078656).

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

8933966694144 is a wasteful number, since it uses less digits than its factorization.

8933966694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39380 (or 39363 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 72.

The spelling of 8933966694144 in words is "eight trillion, nine hundred thirty-three billion, nine hundred sixty-six million, six hundred ninety-four thousand, one hundred forty-four".