1141889479136 has 192 divisors, whose sum is σ = 2672959564800. Its totient is φ = 470113652736.

The previous prime is 1141889479109. The next prime is 1141889479141. The reversal of 1141889479136 is 6319749881411.

It is a super-2 number, since 2×1141889479136² (a number of 25 digits) contains 22 as substring.

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, 120460445 + ... + 120469923.

It is an arithmetic number, because the mean of its divisors is an integer number (13921664400).

Almost surely, 2^{1141889479136} is an apocalyptic number.

1141889479136 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 1141889479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336479782400).

1141889479136 is an abundant number, since it is smaller than the sum of its proper divisors (1531070085664).

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

1141889479136 is a wasteful number, since it uses less digits than its factorization.

1141889479136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9753 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 62.

The spelling of 1141889479136 in words is "one trillion, one hundred forty-one billion, eight hundred eighty-nine million, four hundred seventy-nine thousand, one hundred thirty-six".