9434668488672 has 192 divisors, whose sum is σ = 28441313961984. Its totient is φ = 2682561216000.

The previous prime is 9434668488667. The next prime is 9434668488677. The reversal of 9434668488672 is 2768848664349.

It is an interprime number because it is at equal distance from previous prime (9434668488667) and next prime (9434668488677).

It is a super-2 number, since 2×9434668488672² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9434668488594 and 9434668488603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9434668488677) 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, 200190103 + ... + 200237225.

It is an arithmetic number, because the mean of its divisors is an integer number (148131843552).

Almost surely, 2^{9434668488672} 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 9434668488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220656980992).

9434668488672 is an abundant number, since it is smaller than the sum of its proper divisors (19006645473312).

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

9434668488672 is a wasteful number, since it uses less digits than its factorization.

9434668488672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48581 (or 48573 counting only the distinct ones).

The product of its digits is 2675441664, while the sum is 75.

The spelling of 9434668488672 in words is "nine trillion, four hundred thirty-four billion, six hundred sixty-eight million, four hundred eighty-eight thousand, six hundred seventy-two".