1198263720816 has 320 divisors, whose sum is σ = 3574762946560. Its totient is φ = 383993809920.

The previous prime is 1198263720811. The next prime is 1198263720827. The reversal of 1198263720816 is 6180273628911.

1198263720816 is a `hidden beast` number, since 1 + 198 + 2 + 6 + 372 + 0 + 81 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198263720811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562300071 + ... + 562302201.

It is an arithmetic number, because the mean of its divisors is an integer number (11171134208).

Almost surely, 2^{1198263720816} is an apocalyptic number.

1198263720816 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 1198263720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787381473280).

1198263720816 is an abundant number, since it is smaller than the sum of its proper divisors (2376499225744).

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

1198263720816 is a wasteful number, since it uses less digits than its factorization.

1198263720816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1198263720816 in words is "one trillion, one hundred ninety-eight billion, two hundred sixty-three million, seven hundred twenty thousand, eight hundred sixteen".