11407354376 has 48 divisors (see below), whose sum is σ = 23695365120. Its totient is φ = 5144277600.

The previous prime is 11407354319. The next prime is 11407354381. The reversal of 11407354376 is 67345370411.

11407354376 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 11 ways as a sum of consecutive naturals, for example, 76541 + ... + 169331.

It is an arithmetic number, because the mean of its divisors is an integer number (493653440).

Almost surely, 2^11407354376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11407354376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847682560).

11407354376 is an abundant number, since it is smaller than the sum of its proper divisors (12288010744).

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

11407354376 is a wasteful number, since it uses less digits than its factorization.

11407354376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92946 (or 92931 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 11407354376 in words is "eleven billion, four hundred seven million, three hundred fifty-four thousand, three hundred seventy-six".