12145932632064 has 416 divisors, whose sum is σ = 40407051718656. Its totient is φ = 3152774430720.

The previous prime is 12145932632059. The next prime is 12145932632081. The reversal of 12145932632064 is 46023623954121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7751073009 + ... + 7751074575.

Almost surely, 2^{12145932632064} is an apocalyptic number.

12145932632064 is a gapful number since it is divisible by the number (14) 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 12145932632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20203525859328).

12145932632064 is an abundant number, since it is smaller than the sum of its proper divisors (28261119086592).

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

12145932632064 is an frugal number, since it uses more digits than its factorization.

12145932632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 12145932632064 in words is "twelve trillion, one hundred forty-five billion, nine hundred thirty-two million, six hundred thirty-two thousand, sixty-four".