1081929364128 has 144 divisors (see below), whose sum is σ = 3216387859776. Its totient is φ = 344331187200.

The previous prime is 1081929364127. The next prime is 1081929364163. The reversal of 1081929364128 is 8214639291801.

It is a happy number.

1081929364128 is a `hidden beast` number, since 1 + 0 + 8 + 192 + 9 + 36 + 412 + 8 = 666.

1081929364128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1081929364128² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1081929364123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474028 + ... + 3772628.

It is an arithmetic number, because the mean of its divisors is an integer number (22336026804).

Almost surely, 2^{1081929364128} is an apocalyptic number.

1081929364128 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 1081929364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608193929888).

1081929364128 is an abundant number, since it is smaller than the sum of its proper divisors (2134458495648).

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

1081929364128 is a wasteful number, since it uses less digits than its factorization.

1081929364128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299187 (or 299176 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1081929364128 in words is "one trillion, eighty-one billion, nine hundred twenty-nine million, three hundred sixty-four thousand, one hundred twenty-eight".