1141879603968 has 288 divisors, whose sum is σ = 3486445240320. Its totient is φ = 368407388160.

The previous prime is 1141879603957. The next prime is 1141879604023. The reversal of 1141879603968 is 8693069781411.

1141879603968 is a `hidden beast` number, since 1 + 1 + 4 + 18 + 7 + 9 + 603 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 35974921 + ... + 36006647.

It is an arithmetic number, because the mean of its divisors is an integer number (12105712640).

Almost surely, 2^{1141879603968} is an apocalyptic number.

1141879603968 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 1141879603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743222620160).

1141879603968 is an abundant number, since it is smaller than the sum of its proper divisors (2344565636352).

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

1141879603968 is a wasteful number, since it uses less digits than its factorization.

1141879603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31920 (or 31900 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1141879603968 in words is "one trillion, one hundred forty-one billion, eight hundred seventy-nine million, six hundred three thousand, nine hundred sixty-eight".