32394219047712 has 384 divisors, whose sum is σ = 102916487520000. Its totient is φ = 9874024022016.

The previous prime is 32394219047681. The next prime is 32394219047713. The reversal of 32394219047712 is 21774091249323.

32394219047712 is a `hidden beast` number, since 3 + 2 + 39 + 42 + 1 + 90 + 477 + 12 = 666.

It is a super-2 number, since 2×32394219047712² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (32394219047713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978989864 + ... + 1979006232.

It is an arithmetic number, because the mean of its divisors is an integer number (268011686250).

Almost surely, 2^{32394219047712} is an apocalyptic number.

32394219047712 is a gapful number since it is divisible by the number (32) 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 32394219047712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51458243760000).

32394219047712 is an abundant number, since it is smaller than the sum of its proper divisors (70522268472288).

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

32394219047712 is a wasteful number, since it uses less digits than its factorization.

32394219047712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20593 (or 20579 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 32394219047712 in words is "thirty-two trillion, three hundred ninety-four billion, two hundred nineteen million, forty-seven thousand, seven hundred twelve".