1135779048 has 96 divisors (see below), whose sum is σ = 3196065600. Its totient is φ = 364089600.

The previous prime is 1135779013. The next prime is 1135779053. The reversal of 1135779048 is 8409775311.

It is a junction number, because it is equal to n+sod(n) for n = 1135778994 and 1135779012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206883 + ... + 212301.

It is an arithmetic number, because the mean of its divisors is an integer number (33292350).

Almost surely, 2^1135779048 is an apocalyptic number.

1135779048 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 1135779048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598032800).

1135779048 is an abundant number, since it is smaller than the sum of its proper divisors (2060286552).

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

1135779048 is a wasteful number, since it uses less digits than its factorization.

1135779048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1135779048 is about 33701.3211610465. The cubic root of 1135779048 is about 1043.3530364275.

The spelling of 1135779048 in words is "one billion, one hundred thirty-five million, seven hundred seventy-nine thousand, forty-eight".