1098640309248 has 264 divisors, whose sum is σ = 3483323271792. Its totient is φ = 344670142464.

The previous prime is 1098640309243. The next prime is 1098640309259. The reversal of 1098640309248 is 8429030468901.

1098640309248 is a `hidden beast` number, since 1 + 0 + 98 + 6 + 4 + 0 + 309 + 248 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1098640309194 and 1098640309203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098640309243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4100286 + ... + 4360002.

Almost surely, 2^{1098640309248} is an apocalyptic number.

1098640309248 is a gapful number since it is divisible by the number (18) 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 1098640309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741661635896).

1098640309248 is an abundant number, since it is smaller than the sum of its proper divisors (2384682962544).

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

1098640309248 is an equidigital number, since it uses as much as digits as its factorization.

1098640309248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259769 (or 259739 counting only the distinct ones).

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

The spelling of 1098640309248 in words is "one trillion, ninety-eight billion, six hundred forty million, three hundred nine thousand, two hundred forty-eight".