1135679003844 has 192 divisors, whose sum is σ = 3358103992320. Its totient is φ = 290154286080.

The previous prime is 1135679003843. The next prime is 1135679003903. The reversal of 1135679003844 is 4483009765311.

It is not an unprimeable number, because it can be changed into a prime (1135679003843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25137027 + ... + 25182165.

It is an arithmetic number, because the mean of its divisors is an integer number (17490124960).

Almost surely, 2^{1135679003844} is an apocalyptic number.

1135679003844 is a gapful number since it is divisible by the number (14) 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 1135679003844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679051996160).

1135679003844 is an abundant number, since it is smaller than the sum of its proper divisors (2222424988476).

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

1135679003844 is a wasteful number, since it uses less digits than its factorization.

1135679003844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45610 (or 45608 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1135679003844 in words is "one trillion, one hundred thirty-five billion, six hundred seventy-nine million, three thousand, eight hundred forty-four".