1098926248320 has 384 divisors, whose sum is σ = 3938538240000. Its totient is φ = 292804098048.

The previous prime is 1098926248309. The next prime is 1098926248361. The reversal of 1098926248320 is 238426298901.

1098926248320 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 9 + 2 + 624 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264226401 + ... + 264230559.

It is an arithmetic number, because the mean of its divisors is an integer number (10256610000).

Almost surely, 2^{1098926248320} is an apocalyptic number.

1098926248320 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 1098926248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969269120000).

1098926248320 is an abundant number, since it is smaller than the sum of its proper divisors (2839611991680).

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

1098926248320 is an equidigital number, since it uses as much as digits as its factorization.

1098926248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1098926248320 in words is "one trillion, ninety-eight billion, nine hundred twenty-six million, two hundred forty-eight thousand, three hundred twenty".