18131040928 has 384 divisors, whose sum is σ = 52130856960. Its totient is φ = 5978188800.

The previous prime is 18131040911. The next prime is 18131040979. The reversal of 18131040928 is 82904013181.

It is a super-2 number, since 2×18131040928² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584872273 + ... + 584872303.

It is an arithmetic number, because the mean of its divisors is an integer number (135757440).

Almost surely, 2^18131040928 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 18131040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26065428480).

18131040928 is an abundant number, since it is smaller than the sum of its proper divisors (33999816032).

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

18131040928 is a wasteful number, since it uses less digits than its factorization.

18131040928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 18131040928 in words is "eighteen billion, one hundred thirty-one million, forty thousand, nine hundred twenty-eight".