1098485452800 has 390 divisors, whose sum is σ = 4069083517158. Its totient is φ = 292927242240.

The previous prime is 1098485452787. The next prime is 1098485452811. The reversal of 1098485452800 is 82545848901.

1098485452800 is a `hidden beast` number, since 1 + 0 + 98 + 4 + 8 + 545 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 268141694976 + 830343757824 = 517824^2 + 911232^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8228182 + ... + 8360618.

Almost surely, 2^{1098485452800} is an apocalyptic number.

1098485452800 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 1098485452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034541758579).

1098485452800 is an abundant number, since it is smaller than the sum of its proper divisors (2970598064358).

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

1098485452800 is an equidigital number, since it uses as much as digits as its factorization.

1098485452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132483 (or 132447 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 1098485452800 in words is "one trillion, ninety-eight billion, four hundred eighty-five million, four hundred fifty-two thousand, eight hundred".