11458729480 has 64 divisors (see below), whose sum is σ = 28249041600. Its totient is φ = 4148578560.

The previous prime is 11458729463. The next prime is 11458729507. The reversal of 11458729480 is 8492785411.

11458729480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 43899 + ... + 157621.

It is an arithmetic number, because the mean of its divisors is an integer number (441391275).

Almost surely, 2^11458729480 is an apocalyptic number.

11458729480 is a gapful number since it is divisible by the number (10) 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 11458729480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124520800).

11458729480 is an abundant number, since it is smaller than the sum of its proper divisors (16790312120).

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

11458729480 is a wasteful number, since it uses less digits than its factorization.

11458729480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113974 (or 113970 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 11458729480 in words is "eleven billion, four hundred fifty-eight million, seven hundred twenty-nine thousand, four hundred eighty".