11445973920 has 960 divisors, whose sum is σ = 46367354880. Its totient is φ = 2644088832.

The previous prime is 11445973919. The next prime is 11445973993. The reversal of 11445973920 is 2937954411.

11445973920 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 597 + 39 + 20 = 666.

11445973920 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 (45).

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 159 ways as a sum of consecutive naturals, for example, 243531337 + ... + 243531383.

It is an arithmetic number, because the mean of its divisors is an integer number (48299328).

Almost surely, 2^11445973920 is an apocalyptic number.

11445973920 is a gapful number since it is divisible by the number (10) 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 11445973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183677440).

11445973920 is an abundant number, since it is smaller than the sum of its proper divisors (34921380960).

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

11445973920 is a wasteful number, since it uses less digits than its factorization.

11445973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11445973920 in words is "eleven billion, four hundred forty-five million, nine hundred seventy-three thousand, nine hundred twenty".