9947141820 has 576 divisors, whose sum is σ = 41094144000. Its totient is φ = 1956752640.

The previous prime is 9947141807. The next prime is 9947141857. The reversal of 9947141820 is 281417499.

It is a happy number.

9947141820 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 (45).

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 191 ways as a sum of consecutive naturals, for example, 7109481 + ... + 7110879.

It is an arithmetic number, because the mean of its divisors is an integer number (71344000).

Almost surely, 2^9947141820 is an apocalyptic number.

9947141820 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 9947141820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072000).

9947141820 is an abundant number, since it is smaller than the sum of its proper divisors (31147002180).

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

9947141820 is a wasteful number, since it uses less digits than its factorization.

9947141820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9947141820 is about 99735.3589255085. The cubic root of 9947141820 is about 2150.6319988082.

The spelling of 9947141820 in words is "nine billion, nine hundred forty-seven million, one hundred forty-one thousand, eight hundred twenty".