13192920463632 has 1440 divisors, whose sum is σ = 47939794513920. Its totient is φ = 3101735669760.

The previous prime is 13192920463609. The next prime is 13192920463633. The reversal of 13192920463632 is 23636402929131.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13192920463633) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8662455223 + ... + 8662456745.

It is an arithmetic number, because the mean of its divisors is an integer number (33291523968).

Almost surely, 2^{13192920463632} is an apocalyptic number.

13192920463632 is a gapful number since it is divisible by the number (12) 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 13192920463632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23969897256960).

13192920463632 is an abundant number, since it is smaller than the sum of its proper divisors (34746874050288).

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

13192920463632 is a wasteful number, since it uses less digits than its factorization.

13192920463632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The spelling of 13192920463632 in words is "thirteen trillion, one hundred ninety-two billion, nine hundred twenty million, four hundred sixty-three thousand, six hundred thirty-two".