11416905984 has 144 divisors (see below), whose sum is σ = 33355332864. Its totient is φ = 3438028800.

The previous prime is 11416905943. The next prime is 11416905989. The reversal of 11416905984 is 48950961411.

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

It is not an unprimeable number, because it can be changed into a prime (11416905989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1372879 + ... + 1381169.

It is an arithmetic number, because the mean of its divisors is an integer number (231634256).

Almost surely, 2^11416905984 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 11416905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677666432).

11416905984 is an abundant number, since it is smaller than the sum of its proper divisors (21938426880).

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

11416905984 is a wasteful number, since it uses less digits than its factorization.

11416905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484 (or 8470 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 11416905984 in words is "eleven billion, four hundred sixteen million, nine hundred five thousand, nine hundred eighty-four".