1135006848 has 96 divisors (see below), whose sum is σ = 3283176000. Its totient is φ = 376358400.

The previous prime is 1135006837. The next prime is 1135006871. The reversal of 1135006848 is 8486005311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226773 + ... + 231723.

It is an arithmetic number, because the mean of its divisors is an integer number (34199750).

Almost surely, 2^1135006848 is an apocalyptic number.

1135006848 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 1135006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641588000).

1135006848 is an abundant number, since it is smaller than the sum of its proper divisors (2148169152).

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

1135006848 is a wasteful number, since it uses less digits than its factorization.

1135006848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1135006848 is about 33689.8626889455. The cubic root of 1135006848 is about 1043.1165291965.

The spelling of 1135006848 in words is "one billion, one hundred thirty-five million, six thousand, eight hundred forty-eight".