11878384144 has 45 divisors (see below), whose sum is σ = 25307002861. Its totient is φ = 5397085760.

The previous prime is 11878384103. The next prime is 11878384241. The reversal of 11878384144 is 44148387811.

It is a happy number.

The square root of 11878384144 is 108988.

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

It can be written as a sum of positive squares in only one way, i.e., 5962928400 + 5915455744 = 77220^2 + 76912^2 .

It is a super-2 number, since 2×11878384144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4794234 + ... + 4796710.

Almost surely, 2^11878384144 is an apocalyptic number.

11878384144 is the 108988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11878384144

11878384144 is an abundant number, since it is smaller than the sum of its proper divisors (13428618717).

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

11878384144 is an frugal number, since it uses more digits than its factorization.

11878384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 2490 counting only the distinct ones).

The product of its digits is 688128, while the sum is 49.

Multiplying 11878384144 by its sum of digits (49), we get a square (582040823056 = 762916²).

The spelling of 11878384144 in words is "eleven billion, eight hundred seventy-eight million, three hundred eighty-four thousand, one hundred forty-four".