9748166970432 has 336 divisors, whose sum is σ = 30064736822400. Its totient is φ = 2775856005120.

The previous prime is 9748166970419. The next prime is 9748166970467. The reversal of 9748166970432 is 2340796618479.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 255509694 + ... + 255547842.

It is an arithmetic number, because the mean of its divisors is an integer number (89478383400).

Almost surely, 2^{9748166970432} 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 9748166970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032368411200).

9748166970432 is an abundant number, since it is smaller than the sum of its proper divisors (20316569851968).

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

9748166970432 is a wasteful number, since it uses less digits than its factorization.

9748166970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38850 (or 38829 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 9748166970432 in words is "nine trillion, seven hundred forty-eight billion, one hundred sixty-six million, nine hundred seventy thousand, four hundred thirty-two".