11478201632304 has 320 divisors, whose sum is σ = 35367150071808. Its totient is φ = 3166978867200.

The previous prime is 11478201632281. The next prime is 11478201632351. The reversal of 11478201632304 is 40323610287411.

It is a super-2 number, since 2×11478201632304² (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1216808772 + ... + 1216818204.

Almost surely, 2^{11478201632304} 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 11478201632304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683575035904).

11478201632304 is an abundant number, since it is smaller than the sum of its proper divisors (23888948439504).

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

11478201632304 is a wasteful number, since it uses less digits than its factorization.

11478201632304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13876 (or 13870 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 11478201632304 in words is "eleven trillion, four hundred seventy-eight billion, two hundred one million, six hundred thirty-two thousand, three hundred four".