1198834668000 has 768 divisors, whose sum is σ = 4521785748480. Its totient is φ = 312156633600.

The previous prime is 1198834667963. The next prime is 1198834668011. The reversal of 1198834668000 is 8664388911.

1198834668000 is a `hidden beast` number, since 11 + 98 + 8 + 3 + 466 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×1198834668000² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376162407 + ... + 376165593.

It is an arithmetic number, because the mean of its divisors is an integer number (5887741860).

Almost surely, 2^{1198834668000} is an apocalyptic number.

1198834668000 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 1198834668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260892874240).

1198834668000 is an abundant number, since it is smaller than the sum of its proper divisors (3322951080480).

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

1198834668000 is an frugal number, since it uses more digits than its factorization.

1198834668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1198834668000 in words is "one trillion, one hundred ninety-eight billion, eight hundred thirty-four million, six hundred sixty-eight thousand".