11839016736 has 144 divisors (see below), whose sum is σ = 35487728640. Its totient is φ = 3733516800.

The previous prime is 11839016689. The next prime is 11839016737. The reversal of 11839016736 is 63761093811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 11839016691 and 11839016700.

It is not an unprimeable number, because it can be changed into a prime (11839016737) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7118241 + ... + 7119903.

It is an arithmetic number, because the mean of its divisors is an integer number (246442560).

Almost surely, 2^11839016736 is an apocalyptic number.

11839016736 is a gapful number since it is divisible by the number (16) 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 11839016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743864320).

11839016736 is an abundant number, since it is smaller than the sum of its proper divisors (23648711904).

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

11839016736 is a wasteful number, since it uses less digits than its factorization.

11839016736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11839016736 in words is "eleven billion, eight hundred thirty-nine million, sixteen thousand, seven hundred thirty-six".