18365486400 has 210 divisors, whose sum is σ = 67507384670. Its totient is φ = 4897428480.

The previous prime is 18365486353. The next prime is 18365486401. The reversal of 18365486400 is 468456381.

18365486400 is a `hidden beast` number, since 18 + 36 + 548 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 179345664 + 18186140736 = 13392^2 + 134856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18365486401) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 58746 + ... + 200454.

Almost surely, 2^18365486400 is an apocalyptic number.

18365486400 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 18365486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33753692335).

18365486400 is an abundant number, since it is smaller than the sum of its proper divisors (49141898270).

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

18365486400 is a wasteful number, since it uses less digits than its factorization.

18365486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141743 (or 141719 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 18365486400 in words is "eighteen billion, three hundred sixty-five million, four hundred eighty-six thousand, four hundred".