13330747573632 has 192 divisors, whose sum is σ = 39940258503600. Its totient is φ = 4377255303168.

The previous prime is 13330747573603. The next prime is 13330747573679. The reversal of 13330747573632 is 23637574703331.

13330747573632 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 7 + 4 + 7 + 573 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15084348 + ... + 15943620.

Almost surely, 2^{13330747573632} is an apocalyptic number.

13330747573632 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 13330747573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970129251800).

13330747573632 is an abundant number, since it is smaller than the sum of its proper divisors (26609510929968).

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

13330747573632 is an frugal number, since it uses more digits than its factorization.

13330747573632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859430 (or 859345 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 54.

The spelling of 13330747573632 in words is "thirteen trillion, three hundred thirty billion, seven hundred forty-seven million, five hundred seventy-three thousand, six hundred thirty-two".