9494131920 has 640 divisors, whose sum is σ = 38504202240. Its totient is φ = 1881169920.

The previous prime is 9494131919. The next prime is 9494131963. The reversal of 9494131920 is 291314949.

9494131920 = 12245² + 12246² + ... + 12307².

9494131920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25050291 + ... + 25050669.

It is an arithmetic number, because the mean of its divisors is an integer number (60162816).

Almost surely, 2^9494131920 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 9494131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19252101120).

9494131920 is an abundant number, since it is smaller than the sum of its proper divisors (29010070320).

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

9494131920 is a wasteful number, since it uses less digits than its factorization.

9494131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 9494131920 is about 97437.8361828710. The cubic root of 9494131920 is about 2117.4756294742.

The spelling of 9494131920 in words is "nine billion, four hundred ninety-four million, one hundred thirty-one thousand, nine hundred twenty".