12014509248 has 448 divisors, whose sum is σ = 43237708800. Its totient is φ = 3195002880.

The previous prime is 12014509219. The next prime is 12014509249. The reversal of 12014509248 is 84290541021.

12014509248 is a `hidden beast` number, since 120 + 1 + 4 + 509 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (12014509249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14018836 + ... + 14019692.

Almost surely, 2^12014509248 is an apocalyptic number.

12014509248 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 12014509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21618854400).

12014509248 is an abundant number, since it is smaller than the sum of its proper divisors (31223199552).

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

12014509248 is a wasteful number, since it uses less digits than its factorization.

12014509248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12014509248 in words is "twelve billion, fourteen million, five hundred nine thousand, two hundred forty-eight".