11446082400 has 72 divisors (see below), whose sum is σ = 37257006024. Its totient is φ = 3052288000.

The previous prime is 11446082387. The next prime is 11446082419. The reversal of 11446082400 is 428064411.

11446082400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2382201 + ... + 2387000.

It is an arithmetic number, because the mean of its divisors is an integer number (517458417).

Almost surely, 2^11446082400 is an apocalyptic number.

11446082400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11446082400 is an abundant number, since it is smaller than the sum of its proper divisors (25810923624).

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

11446082400 is a wasteful number, since it uses less digits than its factorization.

11446082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769224 (or 4769211 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 11446082400 in words is "eleven billion, four hundred forty-six million, eighty-two thousand, four hundred".