11674258752 has 224 divisors, whose sum is σ = 34591857664. Its totient is φ = 3454064640.

The previous prime is 11674258703. The next prime is 11674258781. The reversal of 11674258752 is 25785247611.

11674258752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74358258 + ... + 74358414.

It is an arithmetic number, because the mean of its divisors is an integer number (154427936).

Almost surely, 2^11674258752 is an apocalyptic number.

11674258752 is a gapful number since it is divisible by the number (12) 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 11674258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295928832).

11674258752 is an abundant number, since it is smaller than the sum of its proper divisors (22917598912).

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

11674258752 is an equidigital number, since it uses as much as digits as its factorization.

11674258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 206 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The spelling of 11674258752 in words is "eleven billion, six hundred seventy-four million, two hundred fifty-eight thousand, seven hundred fifty-two".