18405912096 has 576 divisors, whose sum is σ = 65879049600. Its totient is φ = 4960327680.

The previous prime is 18405912059. The next prime is 18405912137. The reversal of 18405912096 is 69021950481.

18405912096 is a `hidden beast` number, since 18 + 40 + 591 + 2 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×18405912096² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39412855 + ... + 39413321.

It is an arithmetic number, because the mean of its divisors is an integer number (114373350).

Almost surely, 2^18405912096 is an apocalyptic number.

18405912096 is a gapful number since it is divisible by the number (16) 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 18405912096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32939524800).

18405912096 is an abundant number, since it is smaller than the sum of its proper divisors (47473137504).

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

18405912096 is a wasteful number, since it uses less digits than its factorization.

18405912096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 18405912096 in words is "eighteen billion, four hundred five million, nine hundred twelve thousand, ninety-six".