1129121791848 has 224 divisors, whose sum is σ = 3300585788160. Its totient is φ = 361566270720.

The previous prime is 1129121791807. The next prime is 1129121791871. The reversal of 1129121791848 is 8481971219211.

It is a happy number.

1129121791848 is a `hidden beast` number, since 1 + 1 + 291 + 2 + 179 + 184 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1129121791794 and 1129121791803.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24745711 + ... + 24791297.

Almost surely, 2^{1129121791848} is an apocalyptic number.

1129121791848 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 1129121791848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650292894080).

1129121791848 is an abundant number, since it is smaller than the sum of its proper divisors (2171463996312).

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

1129121791848 is a wasteful number, since it uses less digits than its factorization.

1129121791848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45779 (or 45760 counting only the distinct ones).

The product of its digits is 580608, while the sum is 54.

The spelling of 1129121791848 in words is "one trillion, one hundred twenty-nine billion, one hundred twenty-one million, seven hundred ninety-one thousand, eight hundred forty-eight".