18423158400 has 960 divisors, whose sum is σ = 74584433880. Its totient is φ = 4459069440.

The previous prime is 18423158399. The next prime is 18423158443. The reversal of 18423158400 is 485132481.

18423158400 is a `hidden beast` number, since 1 + 8 + 42 + 31 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1608330816 + 16814827584 = 40104^2 + 129672^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 163036744 + ... + 163036856.

Almost surely, 2^18423158400 is an apocalyptic number.

18423158400 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 18423158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37292216940).

18423158400 is an abundant number, since it is smaller than the sum of its proper divisors (56161275480).

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

18423158400 is a wasteful number, since it uses less digits than its factorization.

18423158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18423158400 in words is "eighteen billion, four hundred twenty-three million, one hundred fifty-eight thousand, four hundred".