1141526146530 has 384 divisors, whose sum is σ = 3601455022080. Its totient is φ = 228709608960.

The previous prime is 1141526146483. The next prime is 1141526146531. The reversal of 1141526146530 is 356416251411.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1141526146531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 517228687 + ... + 517230893.

It is an arithmetic number, because the mean of its divisors is an integer number (9378789120).

Almost surely, 2^{1141526146530} is an apocalyptic number.

1141526146530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141526146530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800727511040).

1141526146530 is an abundant number, since it is smaller than the sum of its proper divisors (2459928875550).

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

1141526146530 is a wasteful number, since it uses less digits than its factorization.

1141526146530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 1141526146530 in words is "one trillion, one hundred forty-one billion, five hundred twenty-six million, one hundred forty-six thousand, five hundred thirty".