11430857984 has 216 divisors, whose sum is σ = 28811962368. Its totient is φ = 4486164480.

The previous prime is 11430857983. The next prime is 11430858011. The reversal of 11430857984 is 48975803411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11430857981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31146569 + ... + 31146935.

Almost surely, 2^11430857984 is an apocalyptic number.

11430857984 is a gapful number since it is divisible by the number (14) 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 11430857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405981184).

11430857984 is an abundant number, since it is smaller than the sum of its proper divisors (17381104384).

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

11430857984 is a wasteful number, since it uses less digits than its factorization.

11430857984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 11430857984 in words is "eleven billion, four hundred thirty million, eight hundred fifty-seven thousand, nine hundred eighty-four".