18354678400 has 96 divisors (see below), whose sum is σ = 46804682880. Its totient is φ = 7104998400.

The previous prime is 18354678373. The next prime is 18354678401. The reversal of 18354678400 is 487645381.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18354678401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6687 + ... + 191713.

It is an arithmetic number, because the mean of its divisors is an integer number (487548780).

Almost surely, 2^18354678400 is an apocalyptic number.

18354678400 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 18354678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23402341440).

18354678400 is an abundant number, since it is smaller than the sum of its proper divisors (28450004480).

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

18354678400 is a wasteful number, since it uses less digits than its factorization.

18354678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185082 (or 185065 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 18354678400 in words is "eighteen billion, three hundred fifty-four million, six hundred seventy-eight thousand, four hundred".