9146972160 has 144 divisors (see below), whose sum is σ = 31702081320. Its totient is φ = 2439168000.

The previous prime is 9146972119. The next prime is 9146972161. The reversal of 9146972160 is 612796419.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9146972161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42535 + ... + 141785.

Almost surely, 2^9146972160 is an apocalyptic number.

9146972160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9146972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851040660).

9146972160 is an abundant number, since it is smaller than the sum of its proper divisors (22555109160).

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

9146972160 is a wasteful number, since it uses less digits than its factorization.

9146972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99284 (or 99261 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9146972160 is about 95639.8042657972. The cubic root of 9146972160 is about 2091.3454977817.

The spelling of 9146972160 in words is "nine billion, one hundred forty-six million, nine hundred seventy-two thousand, one hundred sixty".