1198308541248 has 1680 divisors, whose sum is σ = 4767802300800. Its totient is φ = 294089564160.

The previous prime is 1198308541217. The next prime is 1198308541253. The reversal of 1198308541248 is 8421458038911.

1198308541248 is a `hidden beast` number, since 1 + 1 + 98 + 3 + 0 + 8 + 541 + 2 + 4 + 8 = 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 = 1198308541194 and 1198308541203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4454678458 + ... + 4454678726.

It is an arithmetic number, because the mean of its divisors is an integer number (2837977560).

Almost surely, 2^{1198308541248} is an apocalyptic number.

1198308541248 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 1198308541248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383901150400).

1198308541248 is an abundant number, since it is smaller than the sum of its proper divisors (3569493759552).

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

1198308541248 is a wasteful number, since it uses less digits than its factorization.

1198308541248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1198308541248 in words is "one trillion, one hundred ninety-eight billion, three hundred eight million, five hundred forty-one thousand, two hundred forty-eight".