1098843825744 has 480 divisors, whose sum is σ = 3759958752000. Its totient is φ = 300953594880.

The previous prime is 1098843825733. The next prime is 1098843825787. The reversal of 1098843825744 is 4475283488901.

It is a happy number.

1098843825744 is a `hidden beast` number, since 1 + 0 + 98 + 84 + 382 + 57 + 44 = 666.

1098843825744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316759242 + ... + 316762710.

It is an arithmetic number, because the mean of its divisors is an integer number (7833247400).

Almost surely, 2^{1098843825744} is an apocalyptic number.

1098843825744 is a gapful number since it is divisible by the number (14) 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 1098843825744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879979376000).

1098843825744 is an abundant number, since it is smaller than the sum of its proper divisors (2661114926256).

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

1098843825744 is a wasteful number, since it uses less digits than its factorization.

1098843825744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 1098843825744 in words is "one trillion, ninety-eight billion, eight hundred forty-three million, eight hundred twenty-five thousand, seven hundred forty-four".