9149921820 has 144 divisors (see below), whose sum is σ = 29942771040. Its totient is φ = 2248293888.

The previous prime is 9149921741. The next prime is 9149921873. The reversal of 9149921820 is 281299419.

It is a super-2 number, since 2×9149921820² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1445302 + ... + 1451618.

It is an arithmetic number, because the mean of its divisors is an integer number (207935910).

Almost surely, 2^9149921820 is an apocalyptic number.

9149921820 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 9149921820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971385520).

9149921820 is an abundant number, since it is smaller than the sum of its proper divisors (20792849220).

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

9149921820 is a wasteful number, since it uses less digits than its factorization.

9149921820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9149921820 is about 95655.2236942656. The cubic root of 9149921820 is about 2091.5702750844.

The spelling of 9149921820 in words is "nine billion, one hundred forty-nine million, nine hundred twenty-one thousand, eight hundred twenty".