1098492192000 has 2268 divisors, whose sum is σ = 4931621810388. Its totient is φ = 242984448000.

The previous prime is 1098492191999. The next prime is 1098492192029. The reversal of 1098492192000 is 2912948901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1098492192000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35151750144 + 1063340441856 = 187488^2 + 1031184^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 35435231985 + ... + 35435232015.

Almost surely, 2^{1098492192000} is an apocalyptic number.

1098492192000 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 1098492192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465810905194).

1098492192000 is an abundant number, since it is smaller than the sum of its proper divisors (3833129618388).

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

1098492192000 is an frugal number, since it uses more digits than its factorization.

1098492192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

Multiplying 1098492192000 by its sum of digits (45), we get a square (49432148640000 = 7030800²).

1098492192000 divided by its sum of digits (45) gives a square (24410937600 = 156240²).

The spelling of 1098492192000 in words is "one trillion, ninety-eight billion, four hundred ninety-two million, one hundred ninety-two thousand".