18292921080 has 384 divisors, whose sum is σ = 68149382400. Its totient is φ = 3905169408.

The previous prime is 18292921069. The next prime is 18292921081. The reversal of 18292921080 is 8012929281.

It is a super-3 number, since 3×18292921080³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18292921081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8154439 + ... + 8156681.

It is an arithmetic number, because the mean of its divisors is an integer number (177472350).

Almost surely, 2^18292921080 is an apocalyptic number.

18292921080 is a gapful number since it is divisible by the number (10) 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 18292921080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074691200).

18292921080 is an abundant number, since it is smaller than the sum of its proper divisors (49856461320).

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

18292921080 is a wasteful number, since it uses less digits than its factorization.

18292921080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 18292921080 in words is "eighteen billion, two hundred ninety-two million, nine hundred twenty-one thousand, eighty".