18100454400 has 1320 divisors, whose sum is σ = 81082816320. Its totient is φ = 3901685760.

The previous prime is 18100454321. The next prime is 18100454419. The reversal of 18100454400 is 445400181.

It is a happy number.

18100454400 is a `hidden beast` number, since 18 + 100 + 4 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 420940779 + ... + 420940821.

It is an arithmetic number, because the mean of its divisors is an integer number (61426376).

Almost surely, 2^18100454400 is an apocalyptic number.

18100454400 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 18100454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40541408160).

18100454400 is an abundant number, since it is smaller than the sum of its proper divisors (62982361920).

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

18100454400 is a wasteful number, since it uses less digits than its factorization.

18100454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 18100454400 its reverse (445400181), we get a palindrome (18545854581).

The spelling of 18100454400 in words is "eighteen billion, one hundred million, four hundred fifty-four thousand, four hundred".