11370383424 has 105 divisors (see below), whose sum is σ = 33728152381. Its totient is φ = 3787568640.

The previous prime is 11370383407. The next prime is 11370383441. The reversal of 11370383424 is 42438307311.

The square root of 11370383424 is 106632.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (11370383407) and next prime (11370383441).

It can be written as a sum of positive squares in only one way, i.e., 4867573824 + 6502809600 = 69768^2 + 80640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7676764 + ... + 7678244.

Almost surely, 2^11370383424 is an apocalyptic number.

11370383424 is the 106632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11370383424

11370383424 is an abundant number, since it is smaller than the sum of its proper divisors (22357768957).

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

11370383424 is an frugal number, since it uses more digits than its factorization.

11370383424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 11370383424 by its sum of digits (36), we get a square (409333803264 = 639792²).

11370383424 divided by its sum of digits (36) gives a square (315843984 = 17772²).

The spelling of 11370383424 in words is "eleven billion, three hundred seventy million, three hundred eighty-three thousand, four hundred twenty-four".