12146244408648 has 384 divisors, whose sum is σ = 39406378176000. Its totient is φ = 3456388091520.

The previous prime is 12146244408583. The next prime is 12146244408667. The reversal of 12146244408648 is 84680444264121.

12146244408648 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 624 + 4 + 4 + 0 + 8 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×12146244408648² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12146244408594 and 12146244408603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3089859243 + ... + 3089863173.

It is an arithmetic number, because the mean of its divisors is an integer number (102620776500).

Almost surely, 2^{12146244408648} is an apocalyptic number.

12146244408648 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 12146244408648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19703189088000).

12146244408648 is an abundant number, since it is smaller than the sum of its proper divisors (27260133767352).

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

12146244408648 is a wasteful number, since it uses less digits than its factorization.

12146244408648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 12146244408648 in words is "twelve trillion, one hundred forty-six billion, two hundred forty-four million, four hundred eight thousand, six hundred forty-eight".