11753134848 has 432 divisors, whose sum is σ = 43167808320. Its totient is φ = 2991292416.

The previous prime is 11753134847. The next prime is 11753134867. The reversal of 11753134848 is 84843135711.

11753134848 is a `hidden beast` number, since 1 + 1 + 7 + 531 + 34 + 84 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11753134843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6079290 + ... + 6081222.

Almost surely, 2^11753134848 is an apocalyptic number.

11753134848 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 11753134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583904160).

11753134848 is an abundant number, since it is smaller than the sum of its proper divisors (31414673472).

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

11753134848 is a wasteful number, since it uses less digits than its factorization.

11753134848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1987 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 11753134848 in words is "eleven billion, seven hundred fifty-three million, one hundred thirty-four thousand, eight hundred forty-eight".