12645146632020 has 288 divisors, whose sum is σ = 41762290582656. Its totient is φ = 2849972428800.

The previous prime is 12645146631989. The next prime is 12645146632021. The reversal of 12645146632020 is 2023664154621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12645146632021) 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, 1390947675 + ... + 1390956765.

It is an arithmetic number, because the mean of its divisors is an integer number (145007953412).

Almost surely, 2^{12645146632020} is an apocalyptic number.

12645146632020 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 12645146632020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20881145291328).

12645146632020 is an abundant number, since it is smaller than the sum of its proper divisors (29117143950636).

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

12645146632020 is a wasteful number, since it uses less digits than its factorization.

12645146632020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15662 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 12645146632020 in words is "twelve trillion, six hundred forty-five billion, one hundred forty-six million, six hundred thirty-two thousand, twenty".