1198301431296 has 320 divisors, whose sum is σ = 3569275480320. Its totient is φ = 355026862080.

The previous prime is 1198301431231. The next prime is 1198301431361. The reversal of 1198301431296 is 6921341038911.

It is an interprime number because it is at equal distance from previous prime (1198301431231) and next prime (1198301431361).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164214720 + ... + 164222016.

It is an arithmetic number, because the mean of its divisors is an integer number (11153985876).

Almost surely, 2^{1198301431296} is an apocalyptic number.

1198301431296 is a gapful number since it is divisible by the number (16) 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 1198301431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784637740160).

1198301431296 is an abundant number, since it is smaller than the sum of its proper divisors (2370974049024).

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

1198301431296 is a wasteful number, since it uses less digits than its factorization.

1198301431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 1198301431296 in words is "one trillion, one hundred ninety-eight billion, three hundred one million, four hundred thirty-one thousand, two hundred ninety-six".