11412707328 has 384 divisors, whose sum is σ = 38211264000. Its totient is φ = 3333980160.

The previous prime is 11412707323. The next prime is 11412707351. The reversal of 11412707328 is 82370721411.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 11412707292 and 11412707301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412707323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17639101 + ... + 17639747.

It is an arithmetic number, because the mean of its divisors is an integer number (99508500).

Almost surely, 2^11412707328 is an apocalyptic number.

11412707328 is a gapful number since it is divisible by the number (18) 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 11412707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632000).

11412707328 is an abundant number, since it is smaller than the sum of its proper divisors (26798556672).

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

11412707328 is a wasteful number, since it uses less digits than its factorization.

11412707328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11412707328 in words is "eleven billion, four hundred twelve million, seven hundred seven thousand, three hundred twenty-eight".