32633245040000 has 320 divisors, whose sum is σ = 89356454344080. Its totient is φ = 11866595840000.

The previous prime is 32633245039999. The next prime is 32633245040003. The reversal of 32633245040000 is 4054233623.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32633245040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106326764 + ... + 106633236.

Almost surely, 2^{32633245040000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32633245040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44678227172040).

32633245040000 is an abundant number, since it is smaller than the sum of its proper divisors (56723209304080).

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

32633245040000 is an frugal number, since it uses more digits than its factorization.

32633245040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306540 (or 306491 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 32633245040000 its reverse (4054233623), we get a palindrome (32637299273623).

The spelling of 32633245040000 in words is "thirty-two trillion, six hundred thirty-three billion, two hundred forty-five million, forty thousand".