12146309640 has 480 divisors, whose sum is σ = 43601120640. Its totient is φ = 3030877440.

The previous prime is 12146309633. The next prime is 12146309657. The reversal of 12146309640 is 4690364121.

12146309640 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 6 + 3 + 0 + 9 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 12146309595 and 12146309604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 146341039 + ... + 146341121.

It is an arithmetic number, because the mean of its divisors is an integer number (90835668).

Almost surely, 2^12146309640 is an apocalyptic number.

12146309640 is a gapful number since it is divisible by the number (10) 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 12146309640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21800560320).

12146309640 is an abundant number, since it is smaller than the sum of its proper divisors (31454811000).

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

12146309640 is a wasteful number, since it uses less digits than its factorization.

12146309640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12146309640 in words is "twelve billion, one hundred forty-six million, three hundred nine thousand, six hundred forty".