1198963285632 has 480 divisors, whose sum is σ = 4331881060320. Its totient is φ = 322404655104.

The previous prime is 1198963285609. The next prime is 1198963285673. The reversal of 1198963285632 is 2365823698911.

1198963285632 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 9 + 63 + 2 + 8 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1198963285632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20945883 + ... + 21003045.

It is an arithmetic number, because the mean of its divisors is an integer number (9024752209).

Almost surely, 2^{1198963285632} is an apocalyptic number.

1198963285632 is a gapful number since it is divisible by the number (12) 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 1198963285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165940530160).

1198963285632 is an abundant number, since it is smaller than the sum of its proper divisors (3132917774688).

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

1198963285632 is an equidigital number, since it uses as much as digits as its factorization.

1198963285632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57230 (or 57192 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 1198963285632 in words is "one trillion, one hundred ninety-eight billion, nine hundred sixty-three million, two hundred eighty-five thousand, six hundred thirty-two".