12146499456 has 768 divisors, whose sum is σ = 45008732160. Its totient is φ = 2861236224.

The previous prime is 12146499451. The next prime is 12146499499. The reversal of 12146499456 is 65499464121.

It is a happy number.

It is a super-3 number, since 3×12146499456³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1866240) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 12146499399 and 12146499408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146499451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95641665 + ... + 95641791.

It is an arithmetic number, because the mean of its divisors is an integer number (58605120).

Almost surely, 2^12146499456 is an apocalyptic number.

12146499456 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 12146499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504366080).

12146499456 is an abundant number, since it is smaller than the sum of its proper divisors (32862232704).

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

12146499456 is a wasteful number, since it uses less digits than its factorization.

12146499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 12146499456 in words is "twelve billion, one hundred forty-six million, four hundred ninety-nine thousand, four hundred fifty-six".