1129481409735 has 384 divisors, whose sum is σ = 2488907243520. Its totient is φ = 489868404480.

The previous prime is 1129481409659. The next prime is 1129481409737. The reversal of 1129481409735 is 5379041849211.

1129481409735 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 481 + 40 + 97 + 35 = 666.

It is not a de Polignac number, because 1129481409735 - 2⁸ = 1129481409479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129481409737) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 880343404 + ... + 880344686.

It is an arithmetic number, because the mean of its divisors is an integer number (6481529280).

Almost surely, 2^{1129481409735} is an apocalyptic number.

1129481409735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1129481409735 is an abundant number, since it is smaller than the sum of its proper divisors (1359425833785).

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

1129481409735 is an equidigital number, since it uses as much as digits as its factorization.

1129481409735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1129481409735 in words is "one trillion, one hundred twenty-nine billion, four hundred eighty-one million, four hundred nine thousand, seven hundred thirty-five".