9946171872 has 576 divisors, whose sum is σ = 37010856960. Its totient is φ = 2542565376.

The previous prime is 9946171871. The next prime is 9946171877. The reversal of 9946171872 is 2781716499.

9946171872 is a `hidden beast` number, since 9 + 9 + 4 + 617 + 18 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9946171871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37818013 + ... + 37818275.

It is an arithmetic number, because the mean of its divisors is an integer number (64254960).

Almost surely, 2^9946171872 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 9946171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505428480).

9946171872 is an abundant number, since it is smaller than the sum of its proper divisors (27064685088).

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

9946171872 is a wasteful number, since it uses less digits than its factorization.

9946171872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 9946171872 is about 99730.4961985049. The cubic root of 9946171872 is about 2150.5620936686.

The spelling of 9946171872 in words is "nine billion, nine hundred forty-six million, one hundred seventy-one thousand, eight hundred seventy-two".