11378444000 has 192 divisors, whose sum is σ = 34856220672. Its totient is φ = 3546432000.

The previous prime is 11378443963. The next prime is 11378444027. The reversal of 11378444000 is 44487311.

It is a super-2 number, since 2×11378444000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289529 + ... + 326471.

It is an arithmetic number, because the mean of its divisors is an integer number (181542816).

Almost surely, 2^11378444000 is an apocalyptic number.

11378444000 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 11378444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428110336).

11378444000 is an abundant number, since it is smaller than the sum of its proper divisors (23477776672).

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

11378444000 is a wasteful number, since it uses less digits than its factorization.

11378444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36986 (or 36968 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 11378444000 in words is "eleven billion, three hundred seventy-eight million, four hundred forty-four thousand".